First and second stage turbine airfoil shapes

ABSTRACT

The first stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values of X, Y and R set forth in Tables I and II, respectively, and second stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values set forth in Tables III and IV, respectively. The X, Y and R values are in millimeters. R represents distances along a radius from an axis of rotation of the turbine. For each airfoil, X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius at each distance R. The profile sections at the R distances for each airfoil are joined smoothly with one another to form the airfoil shape. The airfoil shapes given by the X, Y and R distances lie within envelopes of ±4.064 millimeters in a direction normal to any airfoil surface location therealong.

This application is a continuation of application Ser. No. 11/090,300, filed Mar. 28, 2005, now abandoned the entire content of which is hereby incorporated by reference in this application.

BACKGROUND OF THE INVENTION

The present invention relates to airfoil shapes for a gas turbine and particularly relates to nozzle and bucket airfoil shapes for the first and second stages of the gas turbine.

There are many considerations in the design and construction of nozzle and bucket airfoils for turbines, including optimized aerodynamic efficiency, aerodynamic and mechanical blade loading and the interaction between various stages of a gas turbine. For example, and with respect to turbine nozzles, the airfoil shape of the nozzles provides guided turning of the hot gases for interactions along the hot gas path among the various stages of the turbine with substantial effect on the overall efficiency of the turbine. Accordingly, there is a need for airfoil shapes for each of the first and second stage nozzles and buckets for optimizing the efficiency of the gas turbine.

BRIEF DESCRIPTION OF THE INVENTION

In a preferred embodiment of the invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.

In a further preferred embodiment of the present invention, there is provided a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.

In another embodiment of the present invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form the airfoil shape.

In another preferred embodiment of the present invention, there is provided a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.

In a still further preferred embodiment of the present invention, there is provided a first stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table II being joined smoothly with one another to form the bucket airfoil shape.

In another embodiment of the present invention, there is provided a second stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each nozzle including an airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table IV being joined smoothly with one another to form the bucket airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a generalized schematic illustration of the hot gas path of a turbine having first and second stage nozzle and bucket airfoil shapes in accordance with a preferred aspect of the present invention;

FIGS. 2 and 3 constitute plots of the first stage nozzle and bucket airfoil shapes, respectively, at the near root, near pitch and near tip sections; and

FIGS. 4 and 5 constitute plots of the second stage nozzle and bucket airfoil shapes at the near root, near pitch and near tip sections.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to FIG. 1, there is illustrated a portion of a turbine generally designated 10 and particularly the first and second stages 11 and 13, respectively of the turbine 10. Turbine 10 includes a rotor 12 and an outer casing 14. The first stage 11 of the gas turbine 10 includes a first stage nozzle having an array of circumferentially spaced nozzle airfoils 16 secured to casing 14 and an array of circumferentially spaced buckets 18 mounted on the rotor 12. The second stage 13 of the turbine includes an array of circumferentially spaced nozzle airfoils 20 secured to casing 14 and an array of circumferentially spaced buckets 22 mounted on the rotor 12. It will be appreciated that the turbine may include additional stages. Also, each of the nozzle and bucket airfoils have respective unique airfoil shapes for optimizing aerodynamic efficiency and aerodynamic and mechanical blade loading in the hot gas stream, generally indicated by the arrow 24, flowing in the annular hot gas flowpath.

A Cartesian coordinate system of X, Y and R values given in millimeters in Tables I-IV define the profile of the airfoils 16, 18, 20 and 22, respectively. The coordinate values for the X, Y and R coordinates are set forth in millimeters in these tables although other units of dimensions may be used. The Cartesian coordinate system has orthogonally related X, Y and R axes. The R axis is a linear distance in millimeters from an axis of rotation of the turbine and along a radius to a plane normal thereto containing the X and Y values which define airfoil profile sections at each distance R from the axis of rotation. The X axis extends in a direction parallel to the turbine rotor centerline, i.e. the axis of rotation, and the Y axis extends in a tangential direction

By defining X and Y coordinate values in planes perpendicular to and at selected distances in an R direction, the profile of each airfoil can be ascertained. By connecting the X and Y values in each plane with smooth continuing arcs, each profile section at each distance R given in the Tables is fixed. The surface profiles at the various surface locations between the profile section planes at distances R are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil shape.

The values set forth in Tables I-IV represent the airfoil profile sections at ambient non-operating or non-hot conditions. The values provided in Tables I-IV are generated and shown to three decimal places for determining the profiles of the airfoils. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of each airfoil. Accordingly, the values for the profiles given in Tables I-IV are for nominal airfoils. It will therefore be appreciated that ± typical manufacturing tolerances, i.e., ± values, including any coating thicknesses, are additive to or subtractive from the X, Y values given in the tables below. Accordingly, a distance of ±4.064 mm in a direction normal to any surface location along each airfoil surface defines an airfoil profile envelope for the particular airfoil shape.

The coordinate values given in Table I below provide the preferred nominal profile shape excluding fillet regions for the first stage nozzle airfoil 16.

TABLE I Stage 1 Nozzle Airfoil X Y R X Y R 26.066 45.234 494.350 −25.071 −12.684 494.350 26.218 33.453 494.350 −21.845 −20.450 494.350 28.217 50.428 494.350 −21.643 −5.060 494.350 18.693 31.651 494.350 −16.402 −24.581 494.350 29.153 48.638 494.350 −24.927 −10.973 494.350 23.042 39.061 494.350 −22.905 −19.098 494.350 27.656 40.176 494.350 −20.385 −3.888 494.350 26.751 46.810 494.350 −17.903 −23.745 494.350 25.843 31.775 494.350 −24.487 −9.314 494.350 28.535 50.650 494.350 −23.795 −17.629 494.350 19.613 33.103 494.350 −19.054 −2.801 494.350 28.900 494.350 −19.321 −22.775 494.350 23.836 40.585 494.350 −23.753 −7.762 494.350 27.308 38.493 494.350 −24.480 −16.054 494.350 27.402 48.401 494.350 −17.677 −1.773 494.350 25.463 30.099 494.350 −20.642 −21.677 494.350 28.920 50.629 494.350 −6.404 −26.515 494.350 20.508 34.570 494.350 −14.832 −25.280 494.350 28.620 45.242 494.350 0.163 −24.622 494.350 24.606 42.122 494.350 −8.121 −26.587 494.350 26.951 36.812 494.350 −14.844 0.174 494.350 29.226 50.394 494.350 −1.404 −25.327 494.350 21.378 36.053 494.350 −9.837 −26.494 494.350 28.315 43.550 494.350 −13.407 1.117 494.350 25.350 43.671 494.350 −3.031 −25.880 494.350 26.587 35.132 494.350 −11.536 −26.242 494.350 17.747 30.215 494.350 −11.968 2.058 494.350 29.338 50.024 494.350 −4.702 −26.278 494.350 22.222 37.550 494.350 −13.206 −25.835 494.350 27.992 41.862 494.350 3.166 13.359 494.350 −3.486 7.921 494.350 9.268 19.406 494.350 −9.100 3.954 494.350 4.433 14.520 494.350 −2.118 8.962 494.350 10.417 20.685 494.350 −7.678 4.919 494.350 5.677 15.706 494.350 −0.768 10.025 494.350 11.540 21.986 494.350 −6.267 5.901 494.350 6.898 16.916 494.350 0.564 11.112 494.350 12.638 23.308 494.350 −4.870 6.901 494.350 1.876 12.223 494.350 −10.532 3.002 494.350 8.095 18.149 494.350 −22.785 −6.343 494.350 13.711 24.651 494.350 −24.918 −14.394 494.350 20.418 10.101 494.350 −16.270 −0.786 494.350 24.290 25.078 494.350 22.220 16.736 494.350 16.527 29.543 500.230 14.758 26.014 494.350 24.373 28.905 500.230 19.940 8.450 494.350 20.998 36.953 500.230 23.888 23.406 494.350 27.584 44.153 500.230 21.784 15.074 494.350 24.824 44.717 500.230 15.780 27.396 494.350 25.871 35.667 500.230 19.449 6.803 494.350 17.473 30.992 500.230 23.481 21.736 494.350 23.987 27.217 500.230 21.339 13.413 494.350 28.494 51.317 500.230 16.776 28.797 494.350 21.814 38.480 500.230 25.077 28.424 494.350 27.266 42.451 500.230 18.942 5.161 494.350 25.510 46.307 500.230 23.068 20.068 494.350 25.504 33.975 500.230 20.884 11.756 494.350 18.394 32.459 500.230 24.686 26.750 494.350 28.400 49.283 500.230 18.418 3.523 494.350 28.610 50.942 500.230 22.648 18.401 494.350 22.604 40.021 500.230 11.797 −12.309 494.350 26.933 40.752 500.230 6.876 −19.334 494.350 26.165 47.910 500.230 10.930 −13.794 494.350 25.132 32.284 500.230 5.690 −20.578 494.350 27.480 51.333 500.230 10.010 −15.245 494.350 19.288 33.942 500.230 4.426 −21.743 494.350 28.157 47.569 500.230 9.031 −16.658 494.350 −7.679 5.069 500.230 3.082 −22.814 494.350 −0.793 10.314 500.230 12.617 −10.799 494.350 −13.398 1.163 500.230 7.988 −18.024 494.350 −6.271 6.078 500.230 1.660 −23.779 494.350 0.532 11.429 500.230 17.876 1.892 494.350 −11.961 2.129 500.230 14.826 −6.140 494.350 −4.878 7.106 500.230 17.315 0.268 494.350 −10.526 3.098 500.230 14.128 −7.711 494.350 −3.499 8.153 500.230 16.731 −1.349 494.350 −9.098 4.077 500.230 13.393 −9.265 494.350 −2.137 9.222 500.230 16.125 −2.958 494.350 −14.834 0.195 500.230 15.490 −4.555 494.350 −16.360 −24.862 500.230 27.795 51.563 500.230 −24.926 −11.112 500.230 28.183 51.550 500.230 −22.878 −19.293 500.230 15.554 28.110 500.230 −20.373 −3.956 500.230 23.370 41.574 500.230 −17.862 −24.002 500.230 26.588 39.055 500.230 −24.483 −9.440 500.230 26.787 49.526 500.230 −23.776 −17.813 500.230 24.755 30.594 500.230 −25.071 −12.835 500.230 20.156 35.440 500.230 −19.042 −2.848 500.230 27.883 45.859 500.230 −19.282 −23.012 500.230 24.109 43.140 500.230 −23.747 −7.875 500.230 26.233 37.361 500.230 −24.470 −16.229 500.230 −17.666 −1.798 500.230 13.188 −9.256 500.230 −20.605 −21.897 500.230 9.025 −16.835 500.230 −22.775 −6.444 500.230 3.206 −23.196 500.230 −24.916 −14.557 500.230 12.453 −10.823 500.230 −16.260 −0.788 500.230 8.018 −18.243 500.230 −21.812 −20.656 500.230 1.791 −24.193 500.230 −21.631 −5.145 500.230 11.674 −12.370 500.230 −1.280 −25.782 500.230 6.938 −19.597 500.230 −9.776 −26.892 500.230 10.847 −13.891 500.230 −2.918 −26.342 500.230 16.892 0.446 500.230 −11.484 −26.610 500.230 13.884 −7.670 500.230 −4.603 −26.736 500.230 16.341 −1.196 500.230 −13.159 −26.172 500.230 15.769 −2.831 500.230 −6.320 −26.961 500.230 15.171 −4.455 500.230 −14.788 −25.588 500.230 14.544 −6.069 500.230 0.293 −25.061 500.230 27.748 52.275 506.110 −8.050 −27.012 500.230 28.062 52.044 506.110 10.289 21.241 500.230 27.964 49.842 506.110 5.606 16.141 500.230 27.044 52.049 506.110 11.395 22.573 500.230 28.176 51.669 506.110 6.815 17.381 500.230 26.423 50.363 506.110 12.475 23.927 500.230 27.357 52.285 506.110 1.835 12.569 500.230 16.477 30.050 506.110 7.999 18.644 500.230 13.530 25.730 506.110 13.528 25.302 500.230 14.540 27.151 506.110 3.116 13.735 500.230 15.523 28.591 506.110 9.157 19.931 500.230 24.037 29.299 506.110 4.373 14.925 500.230 20.835 37.596 506.110 23.202 23.844 500.230 27.170 44.672 506.110 21.153 15.432 500.230 24.532 45.488 506.110 18.914 7.069 500.230 25.501 36.117 506.110 22.803 22.159 500.230 17.403 31.527 506.110 20.724 13.755 500.230 23.660 27.597 506.110 18.433 5.406 500.230 21.626 39.150 506.110 22.399 20.475 500.230 26.862 42.957 506.110 20.286 12.080 500.230 25.193 47.101 506.110 17.936 3.747 500.230 25.143 34.411 506.110 21.990 18.793 500.230 18.302 33.021 506.110 19.840 10.407 500.230 23.277 25.896 506.110 23.596 25.530 500.230 22.391 40.716 506.110 17.423 2.094 500.230 26.538 41.243 506.110 21.575 17.112 500.230 25.823 48.726 506.110 14.554 26.697 500.230 24.779 32.706 506.110 19.383 8.736 500.230 19.173 34.531 506.110 5.779 −20.882 500.230 27.725 48.115 506.110 9.967 −15.382 500.230 23.130 42.295 506.110 4.535 −22.087 500.230 26.201 39.533 506.110 24.411 31.002 506.110 −2.816 −26.666 506.110 20.018 36.056 506.110 6.867 17.675 506.110 27.459 46.392 506.110 12.490 24.330 506.110 23.844 43.886 506.110 8.048 18.958 506.110 25.854 37.824 506.110 3.170 13.976 506.110 −17.628 −1.833 506.110 9.201 20.265 506.110 −16.225 −0.798 506.110 4.428 15.183 506.110 −14.803 0.210 506.110 10.326 21.597 506.110 0.582 11.640 506.110 5.661 16.416 506.110 −11.933 2.191 506.110 11.422 22.952 506.110 −4.841 7.258 506.110 18.222 5.597 506.110 1.888 12.795 506.110 22.105 20.799 506.110 −10.499 3.181 506.110 20.035 12.331 506.110 −3.459 8.321 506.110 17.738 3.923 506.110 −9.069 4.179 506.110 21.704 19.102 506.110 −2.093 9.404 506.110 19.598 10.643 506.110 −7.648 5.189 506.110 17.237 2.253 506.110 −0.746 10.510 506.110 21.297 17.407 506.110 −13.369 1.202 506.110 19.151 8.958 506.110 −6.238 6.215 506.110 22.891 24.196 506.110 −19.002 −2.907 506.110 16.720 0.588 506.110 −19.275 −23.249 506.110 20.884 15.713 506.110 −23.708 −8.001 506.110 18.693 7.276 506.110 −24.478 −16.405 506.110 22.500 22.497 506.110 −20.605 −22.123 506.110 16.184 −1.071 506.110 −22.729 −6.560 506.110 20.463 14.021 506.110 −24.918 −14.720 506.110 9.057 −16.930 506.110 −14.759 −25.859 506.110 3.315 −23.439 506.110 −21.818 −20.872 506.110 12.401 −10.817 506.110 −25.071 −12.986 506.110 8.070 −18.367 506.110 −21.585 −5.246 506.110 11.643 −12.387 506.110 −16.339 −25.122 506.110 7.008 −19.750 506.110 −24.918 −11.251 506.110 14.435 −6.000 506.110 −22.888 −19.496 506.110 10.837 −13.933 506.110 −20.329 −4.037 506.110 5.866 −21.066 506.110 −17.848 −24.250 506.110 13.794 −7.621 506.110 −24.459 −9.572 506.110 9.977 −15.450 506.110 −23.786 −18.004 506.110 4.635 −22.301 506.110 −11.438 −26.906 506.110 13.117 −9.228 506.110 −4.513 −27.066 506.110 15.627 −2.724 506.110 −13.122 −26.455 506.110 15.045 −4.367 506.110 1.905 −24.463 506.110 27.475 52.958 511.990 −6.241 −27.289 506.110 24.975 47.788 511.990 0.408 −25.356 506.110 27.682 50.447 511.990 −7.983 −27.333 506.110 27.790 52.731 511.990 −1.170 −26.095 506.110 25.588 49.432 511.990 −9.721 −27.202 506.110 27.441 48.709 511.990 27.897 52.364 511.990 −6.218 6.338 511.990 26.174 51.087 511.990 0.631 11.822 511.990 26.765 52.730 511.990 −11.929 2.254 511.990 27.174 46.974 511.990 −4.816 7.394 511.990 27.078 52.968 511.990 1.942 12.989 511.990 13.567 26.094 511.990 −20.579 −22.341 511.990 14.567 27.537 511.990 −22.710 −6.664 511.990 15.537 29.000 511.990 −24.917 −14.882 511.990 11.477 23.274 511.990 −14.712 −26.131 511.990 16.477 30.482 511.990 −21.797 −21.078 511.990 12.537 24.673 511.990 −21.571 −5.329 511.990 17.388 31.982 511.990 −16.298 −25.380 511.990 21.513 39.725 511.990 −24.914 −11.390 511.990 26.579 43.514 511.990 −22.872 −19.691 511.990 24.878 34.905 511.990 −17.813 −24.494 511.990 18.269 33.500 511.990 −24.446 −9.701 511.990 23.039 26.323 511.990 −23.776 −18.188 511.990 22.257 41.315 511.990 −19.245 −23.480 511.990 26.257 41.789 511.990 −23.688 −8.120 511.990 24.519 33.186 511.990 −24.472 −16.578 511.990 19.122 35.034 511.990 −25.071 −13.136 511.990 22.659 24.609 511.990 2.016 −24.639 511.990 22.974 42.917 511.990 −6.143 −27.588 511.990 25.924 40.065 511.990 0.526 −25.565 511.990 24.155 31.469 511.990 −7.896 −27.638 511.990 19.946 36.584 511.990 −1.051 −26.334 511.990 22.275 22.897 511.990 −9.646 −27.505 511.990 23.666 44.530 511.990 −2.701 −26.932 511.990 25.581 38.344 511.990 −11.374 −27.202 511.990 23.787 29.753 511.990 −4.404 −27.351 511.990 20.743 38.148 511.990 −13.067 −26.741 511.990 26.886 45.242 511.990 8.113 19.224 511.990 24.334 46.154 511.990 14.954 −4.201 511.990 25.232 36.624 511.990 3.229 14.183 511.990 23.415 28.037 511.990 9.264 20.549 511.990 −16.220 −0.797 511.990 4.490 15.404 511.990 −14.799 0.233 511.990 10.386 21.899 511.990 −20.319 −4.099 511.990 5.725 16.651 511.990 −18.993 −2.950 511.990 6.933 17.925 511.990 −17.621 −1.854 511.990 21.492 19.475 511.990 −10.492 3.262 511.990 19.423 10.946 511.990 −3.428 8.468 511.990 17.105 2.482 511.990 −9.058 4.275 511.990 21.092 17.765 511.990 −2.056 9.563 511.990 18.984 9.246 511.990 −7.633 5.300 511.990 16.597 0.802 511.990 −0.702 10.680 511.990 20.686 16.058 511.990 −13.366 1.247 511.990 18.534 7.550 511.990 16.071 −0.873 511.990 22.606 24.981 517.870 20.273 14.352 511.990 22.905 43.456 517.870 18.072 5.856 511.990 25.837 40.552 517.870 21.886 21.185 511.990 24.085 31.892 517.870 15.524 −2.541 511.990 19.911 37.055 517.870 19.852 12.648 511.990 22.227 23.255 517.870 17.596 4.167 511.990 25.497 38.818 517.870 11.616 −12.313 511.990 23.722 30.163 517.870 7.063 −19.797 511.990 20.699 38.637 517.870 14.355 −5.851 511.990 21.842 21.530 517.870 10.825 −13.880 511.990 25.151 37.085 517.870 5.937 −21.142 511.990 23.354 28.435 517.870 13.726 −7.490 511.990 21.459 40.232 517.870 9.982 −15.419 511.990 21.453 19.807 517.870 4.722 −22.409 511.990 24.800 35.353 517.870 13.062 −9.114 511.990 22.982 26.708 517.8.70 9.078 −16.923 511.990 22.195 41.838 517.870 3.416 −23.580 511.990 26.170 42.287 517.870 12.360 −10.723 511.990 −21.576 −5.405 517.870 8.107 −18.386 511.990 −14.813 0.259 517.870 25.508 50.027 517.870 −20.330 −4.152 517.870 27.353 49.255 517.870 −13.377 1.288 517.870 27.717 53.328 517.870 −19.007 −2.981 517.870 26.095 51.693 517.870 −17.637 −1.865 517.870 27.086 47.508 517.870 −22.707 −6.761 517.870 27.818 52.964 517.870 −16.236 −0.789 517.870 23.592 45.084 517.870 −2.009 9.685 517.870 26.684 53.326 517.870 −7.618 5.386 517.870 26.797 45.765 517.870 −0.648 10.812 517.870 24.256 46.722 517.870 −6.195 6.434 517.870 27.000 53.566 517.870 0.692 11.965 517.870 26.490 44.025 517.870 −11.935 2.309 517.870 24.894 48.369 517.870 −4.785 7.498 517.870 27.596 51.005 517.870 2.008 13.144 517.870 27.401 53.554 517.870 −10.491 3.329 517.870 14.596 27.888 517.870 −3.388 8.581 517.870 10.447 22.169 517.870 3.298 14.351 517.870 15.556 29.372 517.870 −9.051 4.352 517.870 11.532 23.564 517.870 −25.071 −13.286 517.870 16.485 30.875 517.870 −16.244 −25.636 517.870 12.585 24.983 517.870 −24.911 −11.529 517.870 17.385 32.396 517.870 −22.839 −19.879 517.870 13.606 26.425 517.870 −17.763 −24.734 517.870 18.255 33.933 517.870 −24.439 −9.828 517.870 9.330 20.800 517.870 −23.751 −18.367 517.870 24.445 33.622 517.870 −19.199 −23.704 517.870 19.097 35.487 517.870 −23.681 −8.234 517.870 −24.458 −16.749 517.870 27.871 53.803 523.750 −12.999 −27.022 517.870 23.672 45.558 523.750 −20.537 −22.552 517.870 26.937 46.156 523.750 −24.912 −15.043 517.870 27.970 53.434 523.750 −14.652 −26.401 517.870 24.350 47.203 523.750 −21.759 −21.276 517.870 26.831 53.804 523.750 −7.794 −27.924 517.870 26.633 44.404 523.750 −0.922 −26.530 517.870 25.004 48.857 523.750 −9.556 −27.796 517.870 27.736 51.433 523.750 −2.573 −27.158 517.870 27.150 54.044 523.750 −11.296 −27.491 517.870 22.252 42.296 523.750 3.525 −23.680 517.870 26.315 42.653 523.750 −4.282 −27.603 517.870 25.634 50.520 523.750 2.135 −24.770 517.870 27.492 49.671 523.750 −6.029 −27.861 517.870 27.554 54.032 523.750 0.651 −25.728 517.870 22.973 43.922 523.750 4.561 15.586 517.870 26.237 52.194 523.750 5.797 16.849 517.870 11.599 23.845 523.750 16.077 −0.698 517.870 16.525 31.246 523.750 7.004 18.140 517.870 7.093 18.342 523.750 15.534 −2.380 517.870 12.646 25.283 523.750 8.182 19.456 517.870 17.422 32.783 523.750 14.967 −4.053 517.870 8.267 19.678 523.750 14.373 −5.717 517.870 13.661 26.744 523.750 18.969 9.500 517.870 18.291 34.335 523.750 16.600 0.990 517.870 9.410 21.041 523.750 20.655 16.364 517.870 14.646 28.226 523.750 18.523 7.790 517.870 10.521 22.430 523.750 20.246 14.645 517.870 15.600 29.727 523.750 18.065 6.084 517.870 19.950 37.482 523.750 19.830 12.928 517.870 22.416 23.479 523.750 17.592 4.381 517.870 25.650 39.158 523.750 19.404 11.213 517.870 23.897 30.439 523.750 17.104 2.683 517.870 20.741 39.075 523.750 21.057 18.085 517.870 22.034 21.741 523.750 10.868 −13.821 517.870 25.308 37.413 523.750 6.024 −21.185 517.870 23.533 28.697 523.750 13.747 −7.370 517.870 21.508 40.680 523.750 10.031 −15.378 517.870 21.646 20.005 523.750 4.821 −22.479 517.870 24.962 35.668 523.750 13.088 −9.009 517.870 23.165 26.957 523.750 9.135 −16.900 517.870 21.252 18.271 523.750 12.390 −10.633 517.870 24.611 33.924 523.750 8.174 −18.383 517.870 19.133 35.901 523.750 11.652 −12.238 517.870 22.793 25.217 523.750 7.139 −19.815 517.870 25.987 40.905 523.750 27.225 47.912 523.750 24.256 32.181 523.750 −13.353 1.297 523.750 16.253 −0.642 523.750 −19.000 −3.029 523.750 13.237 −9.007 523.750 −23.670 −8.350 523.750 15.705 −2.335 523.750 −17.628 −1.896 523.750 15.133 −4.019 523.750 −22.696 −6.862 523.750 14.533 −5.694 523.750 −16.224 −0.804 523.750 16.780 1.057 523.750 −21.566 −5.489 523.750 13.902 −7.357 523.750 −14.796 0.256 523.750 20.443 14.806 523.750 −20.322 −4.219 523.750 18.254 6.186 523.750 −6.133 6.490 523.750 20.026 13.077 523.750 0.783 12.080 523.750 17.779 4.471 523.750 −11.904 2.329 523.750 19.600 11.350 523.750 −4.715 7.565 523.750 17.288 2.762 523.750 2.101 13.274 523.750 19.163 9.625 523.750 −10.453 3.358 523.750 20.851 16.538 523.750 −3.312 8.658 523.750 18.715 7.904 523.750 3.392 14.498 523.750 4.944 −22.590 523.750 −9.004 4.390 523.750 9.262 −16.953 523.750 −1.926 9.774 523.750 12.535 −10.641 523.750 4.655 15.751 523.750 8.298 −18.448 523.750 −7.563 5.433 523.750 11.791 −12.257 523.750 −0.561 10.914 523.750 7.262 −19.894 523.750 −17.724 −24.980 523.750 11.002 −13.851 523.750 −24.430 −9.956 523.750 6.147 −21.280 523.750 −23.732 −18.548 523.750 10.161 −15.419 523.750 −25.072 −13.436 523.750 4.771 15.947 529.630 −19.163 −23.936 523.750 28.239 54.172 529.630 −24.446 −16.921 523.750 24.643 47.639 529.630 −12.937 −27.304 523.750 21.706 41.103 529.630 −20.505 −22.769 523.750 26.971 44.621 529.630 −24.909 −15.205 523.750 28.336 53.799 529.630 −14.600 −26.674 523.759 25.323 49.297 529.630 −21.730 −21.480 523.750 28.078 51.701 529.630 −16.199 −25.896 523.750 27.193 54.178 529.630 −24.908 −11.667 523.750 22.471 42.723 529.630 −22.814 −20.071 523.750 26.656 42.858 529.630 −2.449 −27.381 523.750 25.978 50.964 529.630 −11.223 −27.777 523.750 27.830 49.927 529.630 3.650 −23.810 523.750 27.514 54.418 529.630 −4.165 −27.849 523.750 23.215 44.353 529.630 2.263 −24.922 523.750 26.332 41.096 529.630 −5.921 −28.126 523.750 26.606 52.642 529.630 0.780 −25.904 523.750 27.561 48.156 529.630 −7.697 −28.201 523.750 27.921 54.405 529.630 −0.795 −26.730 523.750 23.939 45.992 529.630 −9.471 −28.080 523.750 26.001 39.335 529.630 5.889 17.032 523.750 20.919 39.493 529.630 27.273 46.387 529.630 −8.875 4.375 529.630 12.740 25.615 529.630 −1.792 9.857 529.630 17.542 33.174 529.630 −7.431 5.435 529.630 8.369 19.939 529.630 −0.429 11.019 529.630 13.757 27.090 529.630 −5.998 6.511 529.630 18.423 34.734 529.630 0.912 12.207 529.630 9.508 21.322 529.630 −24.444 −17.096 529.630 14.744 28.585 529.630 −12.902 −27.607 529.630 19.278 36.308 529.630 −20.502 −23.006 529.630 10.616 22.730 529.630 −24.908 −15.368 529.630 15.704 20.098 529.630 −14.575 −26.969 529.630 6.000 17.251 529.630 −21.727 −21.700 529.630 11.693 24.161 529.630 −16.183 −26.180 529.630 16.636 31.628 529.630 −22.811 −20.275 529.630 7.199 18.582 529.630 −25.072 −13.586 529.630 25.664 37.575 529.630 −17.714 −25.250 529.630 23.910 28.791 529.630 −23.729 −18.738 529.630 22.030 20.032 529.630 −19.158 −24.190 529.630 25.322 35.816 529.630 −4.067 −28.137 529.630 23.544 27.037 529.630 2.396 −25.166 529.630 21.635 18.284 529.630 −5.835 −28.423 529.630 24.976 34.059 529.630 0.905 −26.157 529.630 23.174 25.284 529.630 −7.624 −28.505 529.630 21.233 16.539 529.630 −0.679 −26.994 529.630 24.626 32.302 529.630 −9.411 −28.388 529.630 20.110 37.895 529.630 5.097 −22.817 529.630 22.799 23.532 529.630 −2.342 −27.657 529.630 20.822 14.795 529.630 −11.176 −28.084 529.630 24.270 30.546 529.630 3.794 −24.045 529.630 22.418 21.781 529.630 12.791 −10.812 529.630 −23.643 −8.470 529.630 15.438 −4.154 529.630 −17.541 −1.983 529.630 17.632 2.667 529.630 −22.655 −6.976 529.630 14.827 −5.839 529.630 −16.127 −0.883 529.630 17.115 0.952 529.630 −21.513 −5.597 529.630 14.185 −7.511 529.630 −14.691 0.188 529.630 16.579 −0.758 529.630 −24.904 −11.805 529.630 13.507 −9.169 529.630 −20.256 −4.320 529.630 16.021 −2.460 529.630 −13.241 1.240 529.630 20.402 13.053 529.630 −24.416 −10.084 529.630 18.130 4.388 529.630 −18.923 −3.124 529.630 19.973 11.314 529.630 −11.785 2.284 529.630 19.532 9.577 529.630 −4.579 7.605 529.630 19.079 7.844 529.630 2.227 13.425 529.630 18.612 6.114 529.630 −10.328 3.327 529.630 8.487 −18.655 529.630 −3.177 8.719 529.630 12.034 −12.436 529.630 3.513 14.671 529.630 7.438 −20.107 529.630 11.232 −14.037 529.630 25.523 34.054 535.510 6.311 −21.499 529.630 23.731 25.206 535.510 10.377 −15.612 529.630 21.784 16.390 535.510 9.464 −17.153 529.630 25.175 32.282 535.510 3.692 14.835 535.510 23.356 23.440 535.510 4.946 16.134 535.510 21.369 14.633 535.510 6.172 17.460 535.510 24.822 30.511 535.510 2.410 13.564 535.510 22.974 21.675 535.510 19.586 36.655 535.510 20.945 12.878 535.510 20.442 38.245 535.510 24.464 28.742 535.510 28.617 51.841 535.510 22.585 19.911 535.510 22.883 43.080 535.510 25.866 35.827 535.510 27.183 42.928 535.510 −15.961 −1.011 535.510 28.906 54.065 535.510 −21.425 −5.721 535.510 26.537 51.334 535.510 −14.512 0.066 535.510 28.362 50.053 535.510 −24.901 −11.942 535.510 27.760 54.453 535.510 −20.145 −4.448 535.510 23.656 44.712 535.510 −13.052 1.129 535.510 26.862 41.151 535.510 −24.400 −10.210 535.510 27.190 53.017 535.510 −18.790 −3.255 535.510 28.087 48.269 535.510 −11.589 2.186 535.510 28.085 54.694 535.510 −23.605 −8.591 535.510 24.410 46.353 535.510 −17.390 −2.115 535.510 26.535 39.375 535.510 −25.072 −13.737 535.510 21.276 39.846 535.510 −22.593 −7.097 535.510 27.797 46.487 535.510 −8.670 4.313 535.510 28.495 54.678 535.510 −1.595 9.917 535.510 25.144 48.002 535.510 −7.224 5.394 535.510 26.203 37.601 535.510 −0.236 11.106 535.510 22.090 41.458 535.510 −5.792 6.494 535.510 27.495 44.707 535.510 1.100 12.321 535.510 28.814 54.442 535.510 −4.375 7.613 535.510 25.854 49.662 535.510 −10.127 3.246 535.510 18.707 35.078 535.510 −2.975 8.753 535.510 9.679 21.586 535.510 −14.557 −27.277 535.510 14.957 28.907 535.510 −21.738 −21.933 535.510 10.791 23.009 535.510 −16.175 −26.477 535.510 15.932 30.427 535.510 −22.821 −20.490 535.510 11.874 24.454 535.510 −17.714 −25.534 535.510 16.881 31.963 535.510 −23.736 −18.934 535.510 7.370 18.811 535.510 −11.132 −28.405 535.510 12.929 25.919 535.510 −19.164 −24.458 535.510 17.806 33.513 535.510 −24.448 −17.276 535.510 8.539 20.187 535.510 −12.872 −27.923 535.510 13.957 27.404 535.510 −20.511 −23.257 535.510 24.100 26.973 535.510 −24.909 −15.533 535.510 22.189 18.150 535.510 1.052 −26.493 535.510 −7.553 −28.831 535.510 28.535 54.627 541.390 −0.549 −27.327 535.510 27.970 53.247 541.390 −9.354 −28.712 535.510 28.816 48.316 541.390 5.306 −23.162 535.510 25.086 46.561 541.390 −2.228 −27.987 535.510 27.261 39.345 541.390 3.980 −24.388 535.510 21.848 40.037 541.390 −3.968 −28.466 535.510 28.522 46.519 541.390 2.563 −25.505 535.510 26.930 37.555 541.390 −5.750 −28.750 535.510 28.863 54.869 541.390 18.130 2.418 535.510 25.847 48.215 541.390 15.261 −6.140 535.510 26.594 35.765 541.390 11.574 −14.375 535.510 22.687 41.654 541.390 17.603 0.691 535.510 28.218 44.723 541.390 14.602 −7.821 535.510 29.275 54.849 541.390 17.055 −1.030 535.510 26.583 49.880 541.390 13.907 −9.488 535.510 26.252 33.977 541.390 16.484 −2.743 535.510 29.365 51.916 541.390 13.173 −11.137 535.510 10.019 21.705 541.390 15.887 −4.447 535.510 15.374 29.064 541.390 12.397 −12.768 535.510 11.143 23.137 541.390 20.064 9.376 535.510 16.368 30.590 541.390 19.604 7.630 535.510 12.240 24.590 541.390 19.130 5.888 535.510 17.337 32.131 541.390 18.639 4.150 535.510 7.688 18.907 541.390 20.511 11.125 535.510 13.311 26.063 541.390 7.692 −20.455 535.510 21.216 10.851 541.390 6.542 −21.846 535.510 18.284 33.687 541.390 10.698 −15.954 535.510 8.867 20.295 541.390 9.763 −17.498 535.510 14.355 27.555 541.390 8.764 −19.002 535.510 20.763 9.087 541.390 5.248 16.204 541.390 22.504 16.159 541.390 0.042 11.113 541.390 25.906 32.189 541.390 6.482 17.543 541.390 24.086 23.268 541.390 1.383 12.345 541.390 22.085 14.387 541.390 2.698 13.604 541.390 25.554 30.403 541.390 3.987 14.891 541.390 23.703 21.488 541.390 20.109 36.838 541.390 21.656 12.617 541.390 20.989 38.432 541.390 25.196 28.617 541.390 19.207 35.256 541.390 23.312 19.710 541.390 23.505 43.280 541.390 24.832 26.833 541.390 27.906 42.929 541.390 22.913 17.933 541.390 29.593 54.607 541.390 24.462 25.050 541.390 29.679 54.223 541.390 −21.343 −5.838 541.390 27.291 51.558 541.390 −14.325 −0.056 541.390 29.098 50.115 541.390 −24.899 −12.077 541.390 24.305 44.916 541.390 −20.038 −4.569 541.390 27.586 41.137 541.390 −25.073 −13.887 541.390 −12.850 1.011 541.390 18.792 2.076 541.390 −24.390 −10.332 541.390 15.850 −6.538 541.390 −24.446 −17.457 541.390 12.054 −14.806 541.390 −18.660 −3.378 541.390 18.253 0.337 541.390 −11.373 2.076 541.390 20.295 7.327 541.390 −23.577 −8.705 541.390 19.812 5.572 541.390 −24.909 −15.698 541.390 10.189 −17.933 541.390 −17.240 −2.239 541.390 9.160 −19.435 541.390 −9.899 3.145 541.390 8.058 −20.884 541.390 −22.539 −7.210 541.390 6.950 17.471 547.270 −15.792 −1.136 541.390 3.105 13.522 547.270 −8.433 4.225 541.390 0.410 11.024 547.270 −1.323 9.908 541.390 5.695 16.129 547.270 −6.978 5.320 541.390 4.414 14.812 547.270 −5.538 6.434 541.390 1.770 12.259 547.270 −4.114 7.569 541.390 −0.973 9.815 547.270 −2.709 8.727 541.390 −2.378 8.630 547.270 −22.814 −20.702 541.390 19.939 35.239 547.270 −17.677 −25.802 541.390 21.766 38.427 547.270 −23.732 −19.131 541.390 20.863 36.827 547.270 −11.044 −28.707 541.390 18.993 33.664 547.270 −19.137 −24.714 541.390 18.024 32.102 547.270 −12.797 −28.218 541.390 30.284 54.910 547.270 −20.493 −23.500 541.390 28.841 42.872 547.270 −14.496 −27.564 541.390 25.174 44.938 547.270 −21.726 −22.161 541.390 24.351 43.295 547.270 −16.126 −26.755 541.390 26.827 32.033 547.270 −0.357 −27.688 541.390 27.856 37.448 547.270 −9.251 −29.020 541.390 29.868 54.932 547.270 5.609 −23.577 541.390 22.648 40.039 547.270 −2.058 −28.335 541.390 28.254 51.610 547.270 4.253 −24.791 541.390 28.518 41.063 547.270 −3.818 −28.801 541.390 29.158 44.682 547.270 2.806 −25.895 541.390 29.768 48.306 547.270 −5.617 −29.075 541.390 30.341 51.935 547.270 1.268 −26.869 541.390 29.538 54.687 547.270 −7.435 −29.147 541.390 30.600 54.658 547.270 6.876 −22.269 541.390 28.957 53.308 547.270 15.172 −8.228 541.390 23.509 41.662 547.270 11.152 −16.388 541.390 27.523 49.925 547.270 17.692 −1.396 541.390 26.763 48.252 547.270 14.457 −9.902 541.390 25.978 46.590 547.270 17.106 −3.120 541.390 27.175 33.837 547.270 13.702 −11.559 541.390 27.518 35.642 547.270 19.311 3.821 541.390 29.467 46.493 547.270 16.493 −4.835 541.390 30.059 50.120 547.270 12.902 −13.195 541.390 30.658 54.047 547.270 28.190 39.255 547.270 −8.177 4.117 547.270 11.697 23.080 547.270 −3.802 7.469 547.270 9.377 20.230 547.270 −6.703 5.214 547.270 21.634 8.722 547.270 −19.061 −24.951 547.270 17.032 30.556 547.270 −16.021 −27.006 547.270 14.975 27.511 547.270 −12.662 −28.484 547.270 21.158 6.947 547.270 −10.893 −28.981 547.270 10.551 21.644 547.270 −22.779 −20.908 547.270 8.177 18.839 547.270 −9.085 −29.304 547.270 22.094 10.500 547.270 −20.431 −23.727 547.270 12.816 24.537 547.270 −17.586 −26.046 547.270 16.016 29.025 547.270 −14.375 −27.822 547.270 13.908 26.015 547.270 −21.678 −22.378 547.270 24.997 23.030 547.270 −1.817 −28.691 547.270 22.542 12.283 547.270 1.567 −27.274 547.270 23.400 15.856 547.270 6.021 −24.051 547.270 25.376 24.828 547.270 −3.600 −29.134 547.270 26.114 28.428 547.270 −7.254 −29.444 547.270 22.977 14.068 547.270 −0.089 −28.068 547.270 23.813 17.646 547.270 3.140 −26.326 547.270 24.217 19.439 547.270 4.625 −25.245 547.270 24.611 21.233 547.270 7.328 −22.760 547.270 25.748 26.627 547.270 −5.418 −29.388 547.270 26.473 30.230 547.270 16.603 −7.021 547.270 −9.663 3.036 547.270 10.754 −18.449 547.270 −23.709 −19.325 547.270 13.561 −13.709 547.270 −25.073 −14.037 547.270 17.895 −3.581 547.270 −21.284 −5.936 547.270 19.071 −0.100 547.270 −12.655 0.902 547.270 20.154 3.412 547.270 −14.152 −0.163 547.270 15.905 −8.721 547.270 −17.113 −2.340 547.270 9.689 −19.946 547.270 −19.955 −4.668 547.270 11.751 −16.906 547.270 −24.387 −10.449 547.270 12.684 −15.323 547.270 −23.563 −8.809 547.270 14.387 −12.067 547.270 −24.434 −17.638 547.270 15.167 −10.404 547.270 −22.506 −7.308 547.270 17.265 −5.308 547.270 −24.899 −12.210 547.270 18.496 −1.845 547.270 −24.905 −15.864 547.270 19.623 1.653 547.270 −11.157 1.966 547.270 20.665 5.177 547.270 −15.641 −1.239 547.270 8.549 −21.387 547.270 −18.556 −3.478 547.270 −5.244 6.331 547.270

As an example, the profile sections of the first stage nozzle airfoils 16 at each of near root, near pitch and near tip distances R are illustrated in FIG. 2.

The coordinate values given in Table II below provide the preferred nominal profile shape excluding the fillet region for the first stage bucket airfoil 18.

TABLE II Stage 1 Bucket Airfoil X Y R X Y R 397.512 −0.247 501.471 391.171 17.632 501.471 377.726 3.399 501.471 399.570 −1.226 501.471 403.720 13.970 501.471 384.051 −0.349 501.471 400.021 16.614 501.471 378.277 5.607 501.471 391.940 0.774 501.471 403.293 −3.848 501.471 382.576 12.267 501.471 406.050 11.470 501.471 392.285 17.871 501.471 407.418 9.646 501.471 395.693 17.968 501.471 394.214 0.628 501.471 386.291 0.077 501.471 384.227 13.839 501.471 379.216 7.682 501.471 401.959 15.416 501.471 401.494 −2.447 501.471 398.989 17.097 501.471 408.658 7.733 501.471 388.536 0.476 501.471 396.437 0.131 501.471 380.414 9.621 501.471 402.861 14.719 501.471 386.033 15.228 501.471 396.817 17.782 501.471 389.018 16.888 501.471 390.801 0.732 501.471 398.557 −0.702 501.471 381.811 11.421 501.471 377.938 4.518 501.471 390.080 17.302 501.471 404.536 13.174 501.471 393.416 18.010 501.471 405.313 12.339 501.471 385.172 −0.141 501.471 393.080 0.743 501.471 378.709 6.661 501.471 383.381 13.074 501.471 402.408 −3.128 501.471 394.555 18.044 501.471 408.053 8.699 501.471 397.918 17.489 501.471 395.335 0.424 501.471 387.412 0.288 501.471 385.111 14.558 501.471 379.787 8.669 501.471 406.751 10.571 501.471 400.548 −1.811 501.471 401.012 16.050 501.471 409.236 6.751 501.471 389.666 0.628 501.471 387.988 16.400 501.471 381.090 10.539 501.471 404.981 −5.380 501.471 386.992 15.844 501.471 412.682 −0.442 501.471 415.794 −9.013 501.471 420.001 −23.223 501.471 414.696 −5.774 501.471 415.245 −18.998 501.471 408.808 −9.600 501.471 418.021 −23.976 501.471 412.242 0.610 501.471 416.385 −20.973 501.471 417.505 −14.451 501.471 415.820 −19.983 501.471 412.195 −14.183 501.471 417.485 −22.970 501.471 405.788 −6.185 501.471 419.405 −21.022 501.471 411.318 2.694 501.471 420.290 −24.326 501.471 417.173 −13.360 501.471 419.101 −19.923 501.471 415.435 −7.931 501.471 414.061 −17.049 501.471 409.516 −10.493 501.471 419.705 −22.122 501.471 410.829 3.724 501.471 419.077 −25.997 501.471 418.157 −16.636 501.471 420.060 −26.349 501.471 412.830 −15.130 501.471 383.582 13.908 508.892 413.521 −2.562 501.471 382.821 13.029 508.892 411.788 1.656 501.471 380.814 10.180 508.892 406.574 −7.011 501.471 397.966 0.438 508.892 417.833 −15.543 501.471 408.872 6.598 508.892 416.147 −10.097 501.471 400.152 17.307 508.892 410.209 −11.399 501.471 387.074 16.963 508.892 410.320 4.745 501.471 378.571 4.842 508.892 413.451 −16.086 501.471 402.762 −2.810 508.892 414.314 −4.700 501.471 405.848 11.558 508.892 413.108 −1.499 501.471 394.731 19.230 508.892 407.338 −7.857 501.471 379.870 −0.366 508.892 418.476 −17.730 501.471 393.488 1.593 508.892 416.836 −12.271 501.471 403.661 14.272 508.892 410.885 −12.317 501.471 390.164 18.564 508.892 409.790 5.754 501.471 380.242 9.168 508.892 404.150 −4.600 501.471 384.418 −0.178 508.892 415.069 −6.851 501.471 399.005 −0.085 508.892 413.923 −3.629 501.471 385.238 15.539 508.892 408.082 −8.721 501.471 408.317 7.619 508.892 416.494 −11.183 501.471 399.152 17.899 508.892 411.547 −13.245 501.471 378.370 3.697 508.892 418.791 −18.826 501.471 388.878 1.140 508.892 381.789 −0.626 501.471 405.155 12.492 508.892 380.650 −0.603 501.471 393.569 19.250 508.892 379.539 −0.361 501.471 380.986 −0.670 508.892 378.564 0.215 501.471 394.642 1.460 508.892 377.930 1.150 501.471 402.853 15.109 508.892 382.924 −0.522 501.471 389.091 18.116 508.892 377.693 2.261 501.471 379.724 8.127 508.892 414.658 −18.020 501.471 385.531 0.158 508.892 416.940 −21.969 501.471 400.003 −0.682 508.892 418.548 −24.987 501.471 386.133 16.281 508.892 420.570 −25.431 501.471 407.740 8.629 508.892 398.104 18.401 508.892 403.611 −3.603 508.892 378.312 2.537 508.892 413.328 −16.611 508.892 390.015 1.382 508.892 417.933 −17.285 508.892 384.387 14.747 508.892 412.69 −31.878 508.892 392.412 19.141 508.892 407.46 −47.951 508.892 382.147 −0.661 508.892 416.214 −21.657 508.892 395.779 1.219 508.892 420.127 −25.122 508.892 402.001 15.900 508.892 416.192 −11.739 508.892 388.061 17.579 508.892 410.420 3.472 508.892 379.266 7.059 508.892 410.848 −12.677 508.892 386.641 0.506 508.892 418.907 −26.809 508.892 400.960 −1.341 508.892 414.319 −6.235 508.892 407.137 9.623 508.892 404.431 −4.428 508.892 397.011 18.798 508.892 413.923 −17.610 508.892 378.469 1.387 508.892 417.595 −16.173 508.892 391.166 1.547 508.892 412.262 −0.798 508.892 381.436 11.162 508.892 408.172 −8.874 508.892 404.427 13.398 508.892 416.766 −22.680 508.892 391.274 18.909 508.892 419.835 −23.997 508.892 383.293 −0.469 508.892 415.828 −10.634 508.892 396.890 0.876 508.892 409.922 4.523 508.892 401.102 16.636 508.892 411.484 −13.650 508.892 382.106 12.113 508.892 419.899 −27.187 508.892 378.878 5.963 508.892 418.912 −20.633 508.892 387.754 0.841 508.892 413.925 −5.141 508.892 401.879 −2.053 508.892 405.223 −5.279 508.892 406.508 10.601 508.892 414.508 −18.614 508.892 395.883 19.078 508.892 417.251 −15.062 508.892 378.961 0.342 508.892 411.821 0.278 508.892 392.326 1.621 508.892 408.863 −9.809 508.892 416.903 −13.953 508.892 417.310 −23.708 508.892 411.368 1.349 508.892 419.534 −22.874 508.892 409.538 −10.755 508.892 415.460 −9.531 508.892 417.847 −24.739 508.892 409.406 5.565 508.892 419.226 −21.752 508.892 412.109 −14.630 508.892 415.086 −8.430 508.892 418.592 −19.515 508.892 412.723 −15.617 508.892 413.523 −4.050 508.892 418.265 −18.399 508.892 405.992 −6.151 508.892 413.113 −2.962 508.892 415.085 −19.624 508.892 406.738 −7.043 508.892 403.046 15.154 516.313 415.653 −20.638 508.892 388.387 18.295 516.313 420.409 −26.250 508.892 408.800 6.339 516.313 416.550 −12.845 508.892 398.466 18.769 516.313 410.901 2.414 508.892 383.979 14.465 516.313 410.199 −11.712 508.892 396.217 1.767 516.313 418.376 −25.774 508.892 405.902 11.436 516.313 414.705 −7.332 508.892 392.783 19.835 516.313 402.231 15.998 516.313 386.029 0.589 516.313 387.403 17.656 516.313 401.211 −1.252 516.313 408.266 7.384 516.313 379.033 3.990 516.313 397.393 19.242 516.313 391.601 2.347 516.313 383.245 13.549 516.313 381.526 −0.544 516.313 397.302 1.320 516.313 380.299 8.493 516.313 405.241 12.405 516.313 387.110 1.045 516.313 391.629 19.632 516.313 402.086 −2.033 516.313 401.369 16.794 516.313 378.975 2.819 516.313 386.472 16.943 516.313 392.772 2.404 516.313 407.712 8.418 516.313 382.696 −0.514 516.313 396.275 19.598 516.313 379.870 7.401 516.313 382.558 12.598 516.313 388.200 1.478 516.313 398.344 0.782 516.313 402.928 −2.851 516.313 404.547 13.351 516.313 379.110 1.656 516.313 390.505 19.297 516.313 393.942 2.322 516.313 400.455 17.529 516.313 383.837 −0.246 516.313 385.591 16.168 516.313 379.507 6.286 516.313 407.134 9.440 516.313 389.309 1.860 516.313 395.124 19.820 516.313 379.548 0.574 516.313 381.918 11.615 516.313 395.095 2.106 516.313 399.342 0.165 516.313 384.943 0.145 516.313 403.816 14.269 516.313 419.382 −23.477 516.313 389.422 18.847 516.313 416.727 −14.474 516.313 409.316 5.286 516.313 404.520 −4.574 516.313 399.487 18.192 516.313 413.758 −18.128 516.313 384.761 15.339 516.313 419.072 −22.345 516.313 406.532 10.446 516.313 420.251 −26.887 516.313 393.954 19.899 516.313 414.899 −8.899 516.313 381.327 10.601 516.313 408.116 −9.206 516.313 400.297 −0.516 516.313 416.596 −23.262 516.313 411.222 0.997 516.313 418.104 −18.961 516.313 412.937 −3.371 516.313 411.346 −14.102 516.313 410.767 2.079 516.313 416.371 −13.356 516.313 414.519 −7.789 516.313 405.278 −5.469 516.313 412.523 −2.273 516.313 414.341 −19.146 516.313 410.298 3.154 516.313 419.973 −25.747 516.313 414.134 −6.681 516.313 408.785 −10.170 516.313 412.099 −1.179 516.313 417.141 −24.301 516.313 409.815 4.224 516.313 417.768 −17.836 516.313 413.742 −5.575 516.313 411.962 −15.101 516.313 411.666 −0.089 516.313 416.010 −12.240 516.313 413.343 −4.472 516.313 406.015 −6.382 516.313 379.222 5.148 516.313 414.916 −20.169 516.313 390.443 2.159 516.313 419.682 −24.611 516.313 380.411 −0.200 516.313 409.442 −11.142 516.313 380.786 9.560 516.313 417.678 −25.344 516.313 417.426 −16.714 516.313 381.202 0.265 523.734 412.568 −16.105 516.313 384.468 14.965 523.734 415.644 −11.125 516.313 398.932 18.787 523.734 406.732 −7.311 516.313 408.884 5.999 523.734 415.484 −21.196 516.313 391.118 3.048 523.734 418.756 −21.215 516.313 379.873 5.568 523.734 410.087 −12.122 516.313 388.881 18.788 523.734 418.207 −26.392 516.313 403.345 14.961 523.734 417.079 −15.593 516.313 400.630 −0.509 523.734 403.738 −3.699 516.313 385.696 0.846 523.734 413.167 −17.114 516.313 381.870 11.064 523.734 419.734 −27.829 516.313 394.494 20.186 523.734 415.274 −10.011 516.313 406.697 10.152 523.734 407.432 −8.253 516.313 395.735 2.664 523.734 416.044 −22.227 516.313 380.308 1.005 523.734 418.433 −20.087 516.313 385.244 15.846 523.734 410.721 −13.109 516.313 399.921 18.155 523.734 418.736 −27.439 516.313 409.382 4.936 523.734 398.813 0.975 523.734 389.983 2.752 523.734 383.495 0.046 523.734 380.135 6.712 523.734 383.069 13.082 523.734 389.927 19.320 523.734 396.794 19.746 523.734 404.085 14.050 523.734 407.834 8.098 523.734 399.742 0.258 523.734 393.454 3.186 523.734 384.618 0.384 523.734 379.675 3.234 523.734 382.444 12.088 523.734 386.953 17.453 523.734 395.658 20.038 523.734 401.733 16.666 523.734 407.278 9.132 523.734 402.298 −2.161 523.734 394.612 3.001 523.734 387.809 1.869 523.734 379.838 2.073 523.734 380.882 8.936 523.734 386.072 16.678 523.734 392.158 20.034 523.734 400.854 17.443 523.734 405.455 12.144 523.734 403.086 −3.031 523.734 397.837 1.627 523.734 388.882 2.346 523.734 382.328 −0.040 523.734 380.475 7.835 523.734 383.744 14.042 523.734 391.022 19.741 523.734 397.888 19.323 523.734 404.787 13.109 523.734 408.369 7.054 523.734 417.518 −25.780 523.734 392.281 3.200 523.734 409.334 −11.538 523.734 379.708 4.406 523.734 414.058 −7.094 523.734 387.889 18.161 523.734 418.933 −22.785 523.734 402.562 15.835 523.734 414.760 −20.600 523.734 401.481 −1.318 523.734 406.014 −6.699 523.734 386.753 1.356 523.734 410.331 2.789 523.734 381.349 10.013 523.734 415.899 −12.667 523.734 393.321 20.184 523.734 411.817 −15.523 523.734 406.090 11.157 523.734 412.487 −2.669 523.734 396.812 2.198 523.734 417.638 −18.272 523.734 416.983 −24.736 523.734 402.152 16.341 531.155 408.692 −10.555 523.734 402.670 −2.292 531.155 414.435 −8.206 523.734 388.796 3.080 531.155 419.240 −23.918 523.734 381.480 9.498 531.155 414.185 −19.577 523.734 392.826 20.214 531.155 405.310 −5.760 523.734 405.718 11.748 531.155 410.784 1.706 523.734 398.572 1.834 531.155 416.255 −13.785 523.734 383.422 0.932 531.155 419.570 −28.271 523.734 384.306 14.572 531.155 411.207 −14.520 523.734 398.461 19.155 531.155 412.890 −3.772 523.734 408.522 6.645 531.155 417.972 −19.397 523.734 393.299 4.087 531.155 416.439 −23.696 523.734 380.417 4.980 531.155 408.040 −9.579 523.734 388.507 18.564 531.155 414.808 −9.319 523.734 402.946 15.489 531.155 419.538 −25.053 523.734 401.914 −1.405 531.155 413.603 −18.558 523.734 387.746 2.576 531.155 404.589 −4.834 523.734 381.932 10.572 531.155 411.225 0.618 523.734 393.988 20.292 531.155 416.607 −14.905 523.734 406.329 10.756 531.155 418.571 −27.879 523.734 397.628 2.516 531.155 410.591 −13.521 523.734 382.276 1.097 531.155 413.286 −4.877 523.734 385.035 15.480 531.155 418.299 −20.525 523.734 399.466 18.568 531.155 415.887 −22.660 523.734 409.019 5.592 531.155 407.378 −8.610 523.734 392.135 4.061 531.155 415.176 −10.433 523.734 380.543 6.137 531.155 419.825 −26.192 523.734 389.516 19.147 531.155 413.014 −17.542 523.734 403.695 14.597 531.155 403.849 −3.923 523.734 401.132 −0.542 531.155 411.655 −0.474 523.734 386.706 2.050 531.155 416.955 −16.026 523.734 382.443 11.619 531.155 418.045 −26.830 523.734 395.150 20.218 531.155 409.966 −12.527 523.734 406.912 9.747 531.155 413.675 −5.984 523.734 396.627 3.111 531.155 418.619 −21.654 523.734 381.285 1.692 531.155 415.327 −21.628 523.734 385.819 16.342 531.155 406.703 −7.650 523.734 400.416 17.893 531.155 409.864 3.866 523.734 390.988 3.863 531.155 415.539 −11.549 523.734 380.775 7.279 531.155 420.097 −27.333 523.734 390.577 19.627 531.155 412.419 −16.531 523.734 404.405 13.672 531.155 412.076 −1.570 523.734 400.317 0.291 531.155 417.299 −17.148 523.734 385.656 1.547 531.155 394.452 3.927 531.155 383.010 12.637 531.155 380.439 3.816 531.155 396.293 19.997 531.155 387.555 17.894 531.155 407.471 8.725 531.155 395.566 3.592 531.155 409.500 4.530 531.155 380.686 2.680 531.155 415.116 −10.777 531.155 386.659 17.150 531.155 419.681 −26.434 531.155 401.310 17.146 531.155 412.932 −17.832 531.155 403.402 −3.198 531.155 404.115 −4.120 531.155 389.874 3.522 531.155 411.696 −0.865 531.155 381.092 8.400 531.155 416.856 −16.337 531.155 391.684 19.987 531.155 417.896 −27.067 531.155 405.078 12.722 531.155 409.956 −12.825 531.155 399.466 1.087 531.155 413.655 −6.351 531.155 384.566 1.136 531.155 418.493 −21.927 531.155 383.631 13.622 531.155 415.210 −21.898 531.155 397.401 19.638 531.155 406.813 −7.920 531.155 408.007 7.690 531.155 409.965 3.462 531.155 414.650 −20.876 531.155 415.471 −11.886 531.155 406.157 −6.956 531.155 419.948 −27.568 531.155 410.416 2.387 531.155 412.348 −16.824 531.155 415.823 −12.997 531.155 412.103 −1.957 531.155 411.759 −15.819 531.155 417.194 −17.452 531.155 412.502 −3.051 531.155 417.375 −26.025 531.155 417.527 −18.568 531.155 409.342 −11.834 531.155 416.846 −24.987 531.155 414.027 −7.455 531.155 408.722 −10.847 531.155 418.802 −23.051 531.155 414.395 −8.561 531.155 403.208 −2.367 538.576 419.105 −24.176 531.155 390.056 4.623 538.576 414.084 −19.858 531.155 382.092 10.297 538.576 405.490 −6.001 531.155 393.599 20.294 538.576 410.854 1.308 531.155 405.989 11.280 538.576 416.170 −14.109 531.155 399.447 1.968 538.576 419.413 −28.494 531.155 384.735 2.483 538.576 411.163 −14.817 531.155 384.912 15.277 538.576 412.893 −4.149 531.155 399.070 18.835 538.576 417.855 −19.686 531.155 408.687 6.210 538.576 416.308 −23.953 531.155 394.581 4.902 538.576 408.095 −9.866 531.155 381.181 5.817 538.576 414.758 −9.668 531.155 389.224 19.018 538.576 419.399 −25.303 531.155 403.340 15.032 538.576 413.511 −18.843 531.155 402.509 −1.455 538.576 404.810 −5.055 531.155 388.982 4.215 538.576 411.280 0.223 531.155 382.532 11.359 538.576 416.515 −15.223 531.155 394.747 20.275 538.576 418.417 −28.109 531.155 406.575 10.291 538.576 410.562 −13.819 531.155 398.588 2.731 538.576 413.277 −5.249 531.155 383.592 2.434 538.576 418.177 −20.806 531.155 385.656 16.153 538.576 415.763 −22.924 531.155 400.029 18.202 538.576 407.458 −8.890 531.155 409.167 5.166 538.576 393.448 5.086 538.576 415.768 −13.209 538.576 381.245 6.964 538.576 414.044 −19.969 538.576 390.258 19.519 538.576 405.843 −6.133 538.576 404.055 14.132 538.576 414.023 −7.734 538.576 401.787 −0.561 538.576 416.774 −16.506 538.576 387.933 3.745 538.576 419.266 −28.498 538.576 383.036 12.391 538.576 411.233 −14.958 538.576 395.883 20.108 538.576 414.380 −8.827 538.576 407.136 9.288 538.576 418.676 −23.134 538.576 397.677 3.431 538.576 416.205 −24.026 538.576 382.513 2.808 538.576 408.305 −10.014 538.576 386.459 16.975 538.576 417.428 −18.710 538.576 400.933 17.493 538.576 419.540 −26.471 538.576 392.300 5.092 538.576 413.491 −18.962 538.576 381.435 8.097 538.576 405.204 −5.177 538.576 391.339 19.907 538.576 412.921 −4.468 538.576 404.732 13.204 538.576 417.103 −17.607 538.576 401.040 0.312 538.576 418.277 −28.129 538.576 386.893 3.257 538.576 410.658 −13.963 538.576 383.602 13.391 538.576 410.081 3.057 538.576 396.991 19.804 538.576 415.673 −23.007 538.576 407.673 8.273 538.576 407.701 −9.036 538.576 396.706 4.045 538.576 409.631 4.115 538.576 381.703 3.605 538.576 411.760 −1.222 538.576 387.322 17.733 538.576 416.106 −14.307 538.576 401.783 16.721 538.576 419.804 −27.589 538.576 391.163 4.927 538.576 412.933 −17.957 538.576 381.723 9.209 538.576 404.553 −4.230 538.576 392.457 20.169 538.576 413.294 −5.555 538.576 405.376 12.252 538.576 417.749 −19.813 538.576 400.261 1.158 538.576 417.761 −27.102 538.576 385.836 2.807 538.576 410.078 −12.971 538.576 384.228 14.355 538.576 410.518 1.994 538.576 398.056 19.375 538.576 414.733 −9.920 538.576 408.190 7.246 538.576 418.973 −24.244 538.576 395.673 4.546 538.576 415.136 −21.991 538.576 381.301 4.676 538.576 407.090 −8.063 538.576 388.245 18.418 538.576 412.155 −2.301 538.576 402.584 15.897 538.576 412.371 −16.955 538.576 412.542 −3.383 538.576 403.889 −3.293 538.576 416.441 −15.406 538.576 413.661 −6.644 538.576 411.804 −15.955 538.576 418.063 −20.918 538.576 415.081 −11.015 538.576 417.249 −26.073 538.576 418.372 −22.025 538.576 409.492 −11.982 538.576 416.730 −25.048 538.576 410.943 0.926 538.576 408.901 −10.996 538.576 415.426 −12.112 538.576 411.357 −0.146 538.576 419.263 −25.356 538.576 414.593 −20.979 538.576 410.634 1.649 545.997 406.471 −7.095 538.576 412.600 −3.632 545.997 384.914 15.272 ˜545.997 411.046 0.600 545.997 398.739 19.015 545.997 412.968 −4.697 545.997 408.381 6.814 545.997 409.325 4.767 545.997 396.935 4.976 545.997 411.448 −0.453 545.997 389.060 19.029 545.997 409.774 3.733 545.997 403.019 15.392 545.997 411.840 −1.509 545.997 391.563 6.256 545.997 410.210 2.694 545.997 382.753 11.332 545.997 412.224 −2.569 545.997 394.464 20.322 545.997 387.263 4.946 545.997 406.264 10.793 545.997 382.320 5.834 545.997 385.619 16.151 545.997 401.787 0.312 545.997 399.697 18.422 545.997 386.198 4.577 545.997 408.861 5.794 545.997 382.038 6.922 545.997 395.948 5.520 545.997 390.455 6.054 545.997 390.068 19.533 545.997 403.797 −2.407 545.997 403.736 14.522 545.997 385.096 4.347 545.997 400.329 2.030 545.997 382.006 8.047 545.997 383.188 12.371 545.997 389.373 5.738 545.997 395.581 20.182 545.997 383.977 4.423 545.997 406.826 9.816 545.997 403.146 −1.487 545.997 386.386 16.976 545.997 382.142 9.165 545.997 400.602 17.750 545.997 402.477 −0.580 545.997 401.073 1.183 545.997 388.314 5.353 545.997 394.902 5.938 545.997 382.983 4.936 545.997 391.124 19.925 545.997 382.399 10.262 545.997 404.416 13.623 545.997 412.440 −16.929 545.997 383.696 13.377 545.997 405.664 −5.226 545.997 396.674 19.909 545.997 414.038 −7.905 545.997 407.365 8.826 545.997 418.552 −23.024 545.997 398.730 3.618 545.997 404.432 −3.338 545.997 387.217 17.738 545.997 410.262 −12.982 545.997 401.456 17.014 545.997 415.729 −13.281 545.997 393.809 6.207 545.997 414.563 −20.906 545.997 392.219 20.192 545.997 407.439 −8.104 545.997 405.061 12.699 545.997 417.337 −18.682 545.997 399.551 2.845 545.997 418.149 −27.934 545.997 384.272 14.345 545.997 411.901 −15.939 545.997 397.730 19.515 545.997 414.384 −8.978 545.997 407.883 7.825 545.997 418.843 −24.113 545.997 397.861 4.335 545.997 416.118 −23.909 545.997 388.109 18.426 545.997 409.707 −12.000 545.997 402.260 16.225 545.997 416.057 −14.359 545.997 392.687 6.313 545.997 414.037 −19.910 545.997 393.337 20.326 545.997 406.856 −7.140 545.997 405.677 11.755 545.997 417.648 −19.766 545.997 417.637 −26.930 545.997 383.881 13.603 553.418 414.726 −10.052 545.997 396.458 20.102 553.418 419.129 −25.203 545.997 407.051 9.406 553.418 419.126 −28.283 545.997 400.413 2.916 553.418 415.604 −22.906 545.997 386.701 6.749 553.418 409.148 −11.022 545.997 387.232 17.925 553.418 416.381 −15.439 545.997 401.160 17.320 553.418 413.508 −18.914 545.997 396.278 6.517 553.418 406.265 −6.180 545.997 382.836 9.369 553.418 413.330 −5.765 545.997 392.104 20.356 553.418 417.954 −20.850 545.997 404.748 13.159 553.418 417.136 −25.921 545.997 403.111 −0.563 553.418 411.358 −14.951 545.997 390.998 7.698 553.418 415.064 −11.127 545.997 384.407 14.570 553.418 419.403 −26.296 545.997 397.492 19.724 553.418 408.584 −10.046 545.997 407.569 8.434 553.418 416.703 −16.519 545.997 399.670 3.730 553.418 405.054 −4.278 545.997 385.609 6.616 553.418 412.975 −17.921 545.997 388.099 18.603 553.418 413.687 −6.834 545.997 401.958 16.561 553.418 418.255 −21.936 545.997 395.299 7.020 553.418 416.629 −24.914 545.997 382.883 10.468 553.418 410.812 −13.965 545.997 393.196 20.493 553.418 415.398 −12.203 545.997 405.363 12.245 553.418 419.662 −27.393 545.997 402.469 0.332 553.418 415.085 −21.905 545.997 389.910 7.531 553.418 408.015 −9.073 545.997 385.011 15.491 553.418 417.022 −17.600 545.997 398.482 19.242 553.418 398.070 5.242 553.418 408.067 7.452 553.418 383.602 7.358 553.418 398.891 4.508 553.418 390.007 19.696 553.418 384.525 6.773 553.418 403.426 14.920 553.418 389.026 19.197 553.418 393.194 7.648 553.418 402.712 15.759 553.418 383.440 12.594 553.418 394.267 7.404 553.418 395.389 20.363 553.418 383.099 11.547 553.418 406.512 10.366 553.418 394.296 20.496 553.418 401.124 2.076 553.418 405.950 11.313 553.418 387.772 7.003 553.418 401.808 1.213 553.418 386.426 17.175 553.418 388.837 7.284 553.418 400.316 18.027 553.418 385.685 16.361 553.418 409.013 5.463 553.418 399.424 18.672 553.418 397.201 5.917 553.418 408.548 6.462 553.418 383.034 8.290 553.418 414.531 −20.656 553.418 391.037 20.087 553.418 407.219 −7.083 553.418 404.104 14.052 553.418 410.734 1.409 553.418 403.735 −1.471 553.418 415.689 −13.187 553.418 392.098 7.744 553.418 411.990 −15.771 553.418 404.344 −2.388 553.418 404.940 −3.314 553.418 412.649 −3.754 553.418 412.283 −2.715 553.418 417.243 −18.470 553.418 416.938 −17.411 553.418 416.531 −24.581 553.418 417.027 −25.564 553.418 409.383 −10.920 553.418 409.911 −11.887 553.418 414.386 −8.979 553.418 414.049 −7.930 553.418 418.710 −23.777 553.418 418.425 −22.713 553.418 414.027 −19.677 553.418 404.452 13.543 560.839 406.663 −6.133 553.418 392.062 20.315 560.839 411.135 0.383 553.418 384.351 9.840 560.839 416.006 −14.242 553.418 398.252 6.034 560.839 418.992 −27.849 553.418 400.911 17.529 560.839 411.475 −14.797 553.418 387.276 18.060 560.839 413.008 −4.795 553.418 389.504 9.232 560.839 417.544 −19.529 553.418 401.785 2.036 560.839 416.034 −23.598 553.418 406.731 9.929 560.839 408.850 −9.957 553.418 396.295 20.134 560.839 409.463 4.458 553.418 384.058 13.865 560.839 414.717 −10.029 553.418 394.731 8.426 560.839 418.991 −24.842 553.418 403.814 14.401 560.839 413.520 −18.699 553.418 391.024 20.061 560.839 406.098 −5.188 553.418 385.257 9.291 560.839 411.527 −0.646 553.418 399.022 5.293 560.839 416.320 −15.297 553.418 408.680 6.125 560.839 418.028 −27.525 553.418 400.081 18.202 560.839 410.957 −13.825 553.418 386.474 17.354 560.839 413.361 −5.838 553.418 390.572 9.266 560.839 417.842 −20.589 553.418 402.414 1.172 560.839 415.535 −22.616 553.418 406.197 10.855 560.839 408.312 −8.996 553.418 395.252 20.362 560.839 409.899 3.447 553.418 383.742 12.846 560.839 415.045 −11.081 553.418 395.683 7.943 560.839 419.264 −25.909 553.418 403.145 15.234 560.839 413.012 −17.722 553.418 390.019 19.700 560.839 405.524 −4.248 553.418 386.304 9.091 560.839 411.909 −1.679 553.418 399.756 4.517 560.839 416.630 −16.354 553.418 408.218 7.089 560.839 417.520 −26.549 553.418 399.204 18.812 560.839 410.436 −12.855 553.418 385.740 16.578 560.839 413.708 −6.883 553.418 391.640 9.221 560.839 418.135 −21.651 553.418 403.025 0.295 560.839 415.034 −21.635 553.418 405.640 11.767 560.839 407.769 −8.038 553.418 394.189 20.471 560.839 410.322 2.430 553.418 383.620 11.786 560.839 415.369 −12.133 553.418 396.587 7.372 560.839 419.518 −26.980 553.418 402.440 16.037 560.839 412.502 −16.746 553.418 389.055 19.240 560.839 387.372 9.087 560.839 410.394 2.209 560.839 400.459 3.712 560.839 407.987 −7.941 560.839 407.741 8.045 560.839 414.964 −21.177 560.839 398.278 19.346 560.839 418.005 −21.150 560.839 385.083 15.736 560.839 413.695 −6.823 560.839 392.697 9.070 560.839 410.523 −12.645 560.839 403.620 −0.593 560.839 417.411 −25.927 560.839 405.059 12.664 560.839 416.542 −16.011 560.839 393.121 20.454 560.839 411.938 −1.777 560.839 383.784 10.735 560.839 405.873 −4.226 560.839 397.442 6.731 560.839 412.999 −17.381 560.839 401.696 16.805 560.839 419.121 −25.277 560.839 388.138 18.691 560.839 415.000 −10.894 560.839 388.438 9.158 560.839 409.984 3.196 560.839 401.134 2.884 560.839 408.502 −8.878 560.839 407.245 8.992 560.839 415.454 −22.127 560.839 397.307 19.792 560.839 417.718 −20.121 560.839 384.516 14.830 560.839 413.356 −5.810 560.839 393.732 8.806 560.839 411.021 −13.590 560.839 404.200 −1.490 560.839 417.917 −26.868 560.839 415.935 −13.961 560.839 416.240 −14.985 560.839 411.184 0.223 560.839 411.565 −0.775 560.839 406.943 −6.076 560.839 406.411 −5.149 560.839 413.982 −19.278 560.839 413.491 −18.329 560.839 418.570 −23.212 560.839 418.848 −24.244 560.839 414.357 −8.856 560.839 414.680 −9.874 560.839 409.128 5.155 560.839 409.562 4.178 560.839 409.519 −10.758 560.839 409.012 −9.817 560.839 416.433 −24.027 560.839 415.944 −23.077 560.839 417.136 −18.064 560.839 417.429 −19.092 560.839 412.661 −3.789 560.839 413.012 −4.798 560.839 404.768 −2.396 560.839 411.517 −14.537 560.839 412.012 −15.484 560.839 418.862 −27.161 560.839 415.627 −12.938 560.839 408.693 5.959 568.260 410.794 1.218 560.839 400.411 17.694 568.260 407.468 −7.007 560.839 386.925 11.445 568.260 414.473 −20.228 560.839 399.639 5.309 568.260 418.289 −22.181 560.839 406.306 10.551 568.260 414.028 −7.839 560.839 392.722 20.289 568.260 410.022 −11.701 560.839 391.988 10.375 568.260 416.923 −24.977 560.839 402.752 1.177 568.260 416.840 −17.037 560.839 390.672 20.021 568.260 412.303 −2.781 560.839 403.369 14.807 568.260 405.325 −3.308 560.839 384.226 14.133 568.260 412.506 −16.432 560.839 396.621 8.134 568.260 419.371 −26.315 560.839 391.691 20.203 568.260 415.315 −11.915 560.839 408.248 6.894 568.260 394.787 20.173 568.260 407.504 −6.836 568.260 387.933 11.209 568.260 414.366 −19.605 568.260 400.309 4.519 568.260 416.815 −24.166 568.260 388.708 19.374 568.260 416.704 −16.446 568.260 405.772 11.438 568.260 412.221 −2.663 568.260 397.756 19.293 568.260 409.971 −11.388 568.260 392.976 10.067 568.260 419.221 −25.417 568.260 403.318 0.310 568.260 415.198 −11.493 568.260 384.809 16.097 568.260 410.353 2.165 568.260 402.688 15.587 568.260 405.470 −3.229 568.260 384.432 13.127 568.260 412.411 −15.954 568.260 397.433 7.491 568.260 417.854 −20.425 568.260 407.788 7.821 568.260 413.594 −6.571 568.260 399.568 18.295 568.260 408.002 −7.744 568.260 388.950 11.017 568.260 414.856 −20.518 568.260 400.952 3.708 568.260 416.409 −15.454 568.260 386.109 17.699 568.260 411.862 −1.692 568.260 405.214 12.310 568.260 410.459 −12.301 568.260 396.794 19.676 568.260 418.969 −24.414 568.260 393.941 9.690 568.260 414.886 −10.506 568.260 403.872 −0.565 568.260 409.954 3.120 568.260 384.392 15.151 568.260 405.986 −4.126 568.260 401.970 16.333 568.260 412.899 −16.867 568.260 385.063 12.317 568.260 418.736 −26.242 568.260 398.205 6.801 568.260 417.570 −19.429 568.260 407.312 8.741 568.260 413.259 −5.591 568.260 393.757 20.279 568.260 408.497 −8.654 568.260 389.969 10.832 568.260 416.112 −14.462 568.260 401.572 2.878 568.260 411.497 −0.723 568.260 385.398 16.947 568.260 416.326 −23.254 568.260 404.629 13.165 568.260 410.948 −13.214 568.260 395.802 19.971 568.260 418.692 −23.416 568.260 394.873 9.241 568.260 414.570 −9.520 568.260 387.783 18.911 568.260 409.545 4.071 568.260 401.211 17.038 568.260 406.497 −5.027 568.260 385.947 11.784 568.260 413.387 −17.780 568.260 398.939 6.071 568.260 417.811 −25.981 568.260 406.818 9.651 568.260 417.284 −18.434 568.260 398.682 18.830 568.260 412.919 −4.613 568.260 390.983 10.625 568.260 408.990 −9.564 568.260 402.171 2.034 568.260 415.811 −13.471 568.260 389.674 19.744 568.260 411.123 0.243 568.260 404.015 13.998 568.260 415.836 −22.342 568.260 395.768 8.720 568.260 404.414 −1.447 568.260 386.911 18.352 568.260 411.435 −14.127 568.260 418.135 −21.422 568.260 418.414 −22.419 568.260 413.924 −7.552 568.260 414.249 −8.535 568.260 409.125 5.018 568.260 409.481 −10.476 568.260 407.003 −5.930 568.260 415.506 −12.481 568.260 413.876 −18.693 568.260 410.742 1.206 568.260 417.305 −25.079 568.260 415.346 −21.430 568.260 416.995 −17.440 568.260 404.946 −2.336 568.260 412.573 −3.637 568.260 411.923 −15.041 568.260

As an example, the profile sections of the first stage bucket airfoils 18 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 3.

The coordinate values given in Table III below provide the preferred nominal profile shape excluding fillet regions for the second stage nozzle airfoils 20.

TABLE III Stage 2 Nozzle Airfoil X Y R 18.248 27.890 494.350 14.572 22.815 494.350 19.133 29.183 494.350 15.512 24.068 494.350 20.005 30.485 494.350 16.438 25.332 494.350 17.350 26.607 494.350 21.711 33.113 494.350 25.942 34.060 494.350 28.655 42.470 494.350 25.768 39.814 494.350 23.313 26.680 494.350 27.922 40.006 494.350 22.545 34.439 494.350 25.430 32.579 494.350 28.609 42.826 494.350 26.538 41.178 494.350 22.769 25.211 494.350 27.439 38.515 494.350 23.368 35.773 494.350 24.911 31.100 494.350 28.375 43.097 494.350 22.220 23.743 494.350 26.945 37.028 494.350 24.180 37.113 494.350 24.385 29.624 494.350 28.033 43.192 494.350 20.864 31.795 494.350 26.446 35.543 494.350 24.980 38.460 494.350 23.852 28.151 494.350 27.702 43.103 494.350 28.369 41.507 494.350 −18.628 −2.056 494.350 −17.144 −1.553 494.350 −8.417 1.916 494.350 −1.758 6.026 494.350 −14.179 −0.538 494.350 −7.033 2.649 494.350 −0.506 6.968 494.350 −12.712 0.011 494.350 −5.674 3.429 494.350 0.718 7.946 494.350 −11.260 0.600 494.350 −4.342 4.254 494.350 −9.827 1.233 494.350 −3.036 5.120 494.350 −15.659 −1.054 494.350 −27.296 −8.215 494.350 −26.634 −15.701 494.350 −21.556 −3.169 494.350 −22.116 −19.953 494.350 −27.786 −9.701 494.350 −26.526 −6.854 494.350 −27.344 −14.306 494.350 −20.102 −2.586 494.350 −23.427 −19.097 494.350 −25.508 −5.665 494.350 −27.804 −12.811 494.350 −17.763 −21.683 494.350 −24.637 −18.103 494.350 −24.303 −4.667 494.350 −27.960 −11.255 494.350 −19.267 −21.246 494.350 −25.718 −16.970 494.350 −22.968 −3.848 494.350 −20.723 −20.670 494.350 −6.984 −20.936 494.350 −14.667 −22.140 494.350 −1.499 −17.944 494.350 −8.471 −21.428 494.350 −16.225 −21.981 494.350 −2.793 −18.826 494.350 −9.992 −21.801 494.350 −4.140 −19.626 494.350 −11.539 −22.048 494.350 0.930 −15.966 494.350 −5.538 −20.333 494.350 −13.101 −22.162 494.350 −0.258 −16.988 494.350 8.596 15.562 494.350 4.235 11.063 494.350 9.635 16.734 494.350 5.358 12.155 494.350 10.657 17.922 494.350 6.458 13.271 494.350 1.916 8.956 494.350 7.537 14.407 494.350 3.088 9.996 494.350 18.248 13.520 494.350 13.617 21.573 494.350 15.202 6.303 494.350 20.547 19.351 494.350 17.657 12.069 494.350 14.560 4.874 494.350 19.981 17.890 494.350 17.058 10.622 494.350 19.410 16.431 494.350 11.660 19.125 494.350 16.450 9.178 494.350 21.666 22.278 494.350 18.832 14.974 494.350 12.647 20.342 494.350 15.832 7.738 494.350 21.109 20.813 494.350 8.753 −6.224 494.350 4.186 −12.581 494.350 7.911 −7.546 494.350 3.150 −13.756 494.350 11.098 −2.152 494.350 7.036 −8.846 494.350 2.065 −14.887 494.350 10.344 −3.525 494.350 6.126 −10.121 494.350 9.563 −4.883 494.350 5.177 −11.367 494.350 11.829 −0.766 494.350 13.902 3.452 494.350 13.229 2.037 494.350 12.538 0.631 494.350 29.098 43.055 501.440 29.063 43.422 501.440 28.824 43.703 501.440 28.475 43.801 501.440 28.005 43.581 501.440 14.895 22.842 501.440 19.519 29.429 501.440 15.849 24.138 501.440 16.787 25.446 501.440 12.940 20.283 501.440 17.712 26.764 501.440 13.926 21.556 501.440 18.622 28.092 501.440 27.018 41.820 501.440 23.091 25.177 501.440 27.826 38.868 501.440 23.806 36.239 501.440 25.263 31.239 501.440 22.535 23.666 501.440 20.402 30.775 501.440 27.326 37.338 501.440 24.628 37.624 501.440 24.729 29.720 501.440 21.974 22.157 501.440 21.271 32.129 501.440 26.821 35.810 501.440 25.439 39.014 501.440 24.189 28.204 501.440 28.772 41.945 501.440 21.410 20.650 501.440 22.129 33.492 501.440 26.309 34.284 501.440 26.237 40.412 501.440 23.642 26.689 501.440 28.315 40.402 501.440 22.973 34.862 501.440 25.790 32.760 501.440 −20.751 −3.025 501.440 −19.219 −2.529 501.440 −17.680 −2.058 501.440 −23.734 −4.228 501.440 −22.263 −3.576 501.440 −0.492 6.467 501.440 −13.088 −0.567 501.440 −5.812 2.848 501.440 −11.585 0.010 501.440 −4.438 3.687 501.440 −10.102 0.637 501.440 −3.093 4.572 501.440 −16.141 −1.588 501.440 −8.645 1.320 501.440 −1.778 5.499 501.440 −14.608 −1.097 501.440 −7.214 2.058 501.440 −16.887 −22.961 501.440 −24.217 −19.813 501.440 −26.384 −6.036 501.440 −28.746 −13.358 501.440 −18.457 −22.605 501.440 −28.750 −10.166 501.440 −25.450 −18.780 501.440 −25.127 −5.033 501.440 −28.927 −11.762 501.440 −19.989 −22.112 501.440 −26.557 −17.612 501.440 −21.469 −21.481 501.440 −28.238 −8.642 501.440 −27.503 −16.311 501.440 −22.883 −20.714 501.440 −27.441 −7.246 501.440 −28.250 −14.887 501.440 −3.020 −20.099 501.440 −10.481 −22.983 501.440 −4.418 −20.897 501.440 −12.077 −23.188 501.440 −5.868 −21.595 501.440 −13.685 −23.252 501.440 −0.392 −18.243 501.440 −7.367 −22.180 501.440 −15.293 −23.176 501.440 −1.678 −19.211 501.440 −8.908 −22.645 501.440 5.516 11.816 501.440 10.917 17.779 501.440 0.765 7.473 501.440 6.639 12.969 501.440 1.994 8.513 501.440 7.740 14.143 501.440 3.194 9.585 501.440 8.819 15.338 501.440 4.368 10.687 501.440 9.878 16.550 501.440 14.785 4.232 501.440 20.270 17.639 501.440 17.314 10.153 501.440 14.119 2.766 501.440 19.692 16.137 501.440 11.938 19.024 501.440 16.699 8.665 501.440 19.108 14.636 501.440 16.074 7.182 501.440 18.517 13.139 501.440 15.436 5.704 501.440 20.843 19.143 501.440 17.920 11.644 501.440 3.128 −14.943 501.440 7.123 −9.901 501.440 2.009 −16.100 501.440 10.502 −4.422 501.440 6.190 −11.212 501.440 0.836 −17.203 501.440 9.706 −5.821 501.440 5.215 −12.493 501.440 8.879 −7.202 501.440 4.196 −13.739 501.440 8.019 −8.563 501.440 11.270 −3.008 501.440 13.436 −1.309 501.440 12.734 −0.140 501.440 12.014 −1.580 501.440 29.514 44.020 508.530 29.155 42.295 508.530 29.271 44.312 508.530 26.749 41.089 508.530 28.913 44.411 508.530 27.539 42.542 508.530 28.566 44.295 508.530 29.554 43.835 508.530 12.321 18.939 508.530 17.222 25.597 508.530 13.336 20.244 508.530 18.155 26.963 508.530 14.333 21.564 508.530 19.072 28.339 508.530 15.312 22.897 508.530 16.275 24.242 508.530 20.865 31.119 508.530 27.693 37.554 508.530 25.124 38.207 508.530 25.067 29.712 508.530 22.277 21.927 508.530 21.742 32.522 508.530 27.183 35.980 508.530 25.942 39.645 508.530 24.520 28.151 508.530 21.704 20.376 508.530 22.605 33.933 508.530 26.665 34.409 508.530 23.967 26.592 508.530 28.688 40.708 508.530 21.128 18.825 508.530 23.456 35.351 508.530 26.140 32.841 508.530 23.408 25.036 508.530 19.976 29.725 508.530 28.195 39.129 508.530 24.295 36.776 508.530 25.607 31.275 508.530 22.845 23.481 508.530 −25.803 −5.505 508.530 −18.043 −2.719 508.530 −24.333 −4.750 508.530 −22.794 −4.145 508.530 −21.221 −3.633 508.530 −19.634 −3.168 508.530 −11.755 −0.672 508.530 −4.399 3.079 508.530 −10.228 −0.037 508.530 −3.017 3.988 508.530 −16.453 −2.263 508.530 −8.726 0.657 508.530 −1.667 4.943 508.530 −14.871 −1.780 508.530 −7.254 1.410 508.530 −0.348 5.941 508.530 −13.304 −1.251 508.530 −5.811 2.219 508.530 −26.384 −19.500 508.530 −29.906 −12.263 508.530 −20.838 −23.036 508.530 −27.508 −18.289 508.530 −22.342 −22.349 508.530 −29.147 −9.070 508.530 −28.470 −16.945 508.530 −23.778 −21.529 508.530 −28.287 −7.661 508.530 −29.231 −15.478 508.530 −17.678 −23.999 508.530 −25.131 −20.579 508.530 −27.146 −6.468 508.530 −29.702 −10.626 508.530 −29.733 −13.904 508.530 −19.279 −23.587 508.530 −4.817 −22.252 508.530 −12.746 −24.387 508.530 −6.323 −22.936 508.530 −14.399 −24.401 508.530 −0.640 −19.590 508.530 −7.878 −23.498 508.530 −16.047 −24.271 508.530 −1.973 −20.568 508.530 −9.474 −23.931 508.530 −3.366 −21.459 508.530 −11.100 −24.229 508.530 6.939 12.663 508.530 2.198 8.053 508.530 8.060 13.880 508.530 3.425 9.161 508.530 9.157 15.117 508.530 4.624 10.301 508.530 10.232 16.374 508.530 5.795 11.469 508.530 0.940 6.978 508.530 19.958 15.731 508.530 16.910 8.044 508.530 13.580 0.475 508.530 19.364 14.188 508.530 16.273 6.518 508.530 18.763 12.647 508.530 15.622 4.997 508.530 18.154 11.109 508.530 14.958 3.483 508.530 20.546 17.277 508.530 11.286 17.648 508.530 17.537 9.574 508.530 14.277 1.975 508.530 10.580 −5.420 508.530 6.156 −12.400 508.530 0.632 −18.533 508.530 9.764 −6.859 508.530 5.153 −13.715 508.530 8.917 −8.279 508.530 4.103 −14.993 508.530 8.035 −9.678 508.530 3.001 −16.226 508.530 7.116 −11.053 508.530 1.845 −17.409 508.530 12.863 −1.015 508.530 12.126 −2.496 508.530 11.366 −3.965 508.530 26.453 40.292 515.620 29.535 42.623 515.620 29.964 44.620 515.620 27.266 41.784 515.620 29.062 40.992 515.620 29.716 44.922 515.620 28.066 43.283 515.620 28.567 39.367 515.620 29.348 45.019 515.620 28.997 44.893 515.620 25.629 38.807 515.620 29.985 44.231 515.620 13.767 20.196 515.620 18.622 27.164 515.620 14.773 21.565 515.620 15.760 22.947 515.620 11.695 17.503 515.620 16.731 24.342 515.620 12.741 18.842 515.620 17.684 25.748 515.620 24.860 28.068 515.620 22.004 20.068 515.620 23.095 34.385 515.620 27.028 34.508 515.620 24.300 26.464 515.620 19.545 28.591 515.620 21.417 18.474 515.620 23.950 35.853 515.620 26.497 32.894 515.620 23.734 24.862 515.620 20.453 30.027 515.620 20.824 16.882 515.620 24.794 37.327 515.620 25.959 31.283 515.620 23.163 23.262 515.620 21.346 31.471 515.620 28.063 37.745 515.620 25.413 29.674 515.620 22.586 21.664 515.620 22.227 32.924 515.620 27.549 36.125 515.620 −24.852 −5.398 515.620 −23.245 −4.849 515.620 −29.095 −8.127 515.620 −21.614 −4.375 515.620 −27.848 −6.978 515.620 −19.973 −3.933 515.620 −26.406 −6.084 515.620 −18.332 −3.495 515.620 −2.894 3.373 515.620 −16.695 −3.041 515.620 −8.755 −0.055 515.620 −1.510 4.357 515.620 −15.068 −2.552 515.620 −7.243 0.719 515.620 −0.158 5.386 515.620 −13.457 −2.013 515.620 −5.761 1.551 515.620 −11.865 −1.420 515.620 −4.312 2.437 515.620 −10.296 −0.768 515.620 −23.277 −23.267 515.620 −30.039 −9.534 515.620 −29.493 −17.624 515.620 −24.736 −22.397 515.620 −30.255 −16.107 515.620 −18.527 −25.072 515.620 −26.111 −21.400 515.620 −30.746 −14.483 515.620 −20.160 −24.608 515.620 −27.382 −20.274 515.620 −30.892 −12.794 515.620 −21.748 −24.005 515.620 −30.648 −11.117 515.620 −28.522 −19.016 515.620 −15.171 −25.576 515.620 −0.946 −20.959 515.620 −8.449 −24.834 515.620 −16.859 −25.396 515.620 −2.327 −21.947 515.620 −10.100 −25.235 515.620 −3.772 −22.840 515.620 −11.778 −25.494 515.620 −5.277 −23.627 515.620 −13.473 −25.609 515.620 −6.838 −24.296 515.620 3.701 8.714 515.620 9.536 14.880 515.620 4.924 9.892 515.620 6.118 11.101 515.620 1.161 6.457 515.620 7.283 12.337 515.620 2.447 7.567 515.620 8.422 13.597 515.620 16.454 5.823 515.620 12.958 1.918 515.620 19.003 12.122 515.620 15.787 4.260 515.620 10.627 16.182 515.620 18.381 10.541 515.620 15.106 2.704 515.620 17.749 8.964 515.620 14.408 1.155 515.620 20.224 15.293 515.620 17.107 7.391 515.620 13.693 −0.386 515.620 19.618 13.706 515.620 5.039 −14.961 515.620 8.909 −9.381 515.620 3.957 −16.271 515.620 8.003 −10.818 515.620 2.820 −17.533 515.620 7.058 −12.229 515.620 1.626 −18.742 515.620 6.071 −13.612 515.620 0.372 −19.887 515.620 9.779 −7.922 515.620 12.203 −3.439 515.620 11.423 −4.948 515.620 10.616 −6.443 515.620 26.453 40.292 515.620 29.535 42.623 515.620 29.964 44.620 515.620 27.266 41.784 515.620 29.062 40.992 515.620 29.716 44.922 515.620 28.066 43.283 515.620 28.567 39.367 515.620 29.348 45.019 515.620 28.997 44.893 515.620 25.629 38.807 515.620 29.985 44.231 515.620 13.767 20.196 515.620 18.622 27.164 515.620 14.773 21.565 515.620 15.760 22.947 515.620 11.695 17.503 515.620 16.731 24.342 515.620 12.741 18.842 515.620 17.684 25.748 515.620 24.860 28.068 515.620 22.004 20.068 515.620 23.095 34.385 515.620 27.028 34.508 515.620 24.300 26.464 515.620 19.545 28.591 515.620 21.417 18.474 515.620 23.950 35.853 515.620 26.497 32.894 515.620 23.734 24.862 515.620 20.453 30.027 515.620 20.824 16.882 515.620 24.794 37.327 515.620 25.959 31.283 515.620 23.163 23.262 515.620 21.346 31.471 515.620 28.063 37.745 515.620 25.413 29.674 515.620 22.586 21.664 515.620 22.227 32.924 515.620 27.549 36.125 515.620 −24.852 −5.398 515.620 −23.245 −4.849 515.620 −29.095 −8.127 515.620 −21.614 −4.375 515.620 −27.848 −6.978 515.620 −19.973 −3.933 515.620 −26.406 −6.084 515.620 −18.332 −3.495 515.620 −2.894 3.373 515.620 −16.695 −3.041 515.620 −8.755 −0.055 515.620 −1.510 4.357 515.620 −15.068 −2.552 515.620 −7.243 0.719 515.620 −0.158 5.386 515.620 −13.457 −2.013 515.620 −5.761 1.551 515.620 −11.865 −1.420 515.620 −4.312 2.437 515.620 −10.296 −0.768 515.620 −23.277 −23.267 515.620 −30.039 −9.534 515.620 −29.493 −17.624 515.620 −24.736 −22.397 515.620 −30.255 −16.107 515.620 −18.527 −25.072 515.620 −26.111 −21.400 515.620 −30.746 −14.483 515.620 −20.160 −24.608 515.620 −27.382 −20.274 515.620 −30.892 −12.794 515.620 −21.748 −24.005 515.620 −30.648 −11.117 515.620 −28.522 −19.016 515.620 −15.171 −25.576 515.620 −0.946 −20.959 515.620 −8.449 −24.834 515.620 −16.859 −25.396 515.620 −2.327 −21.947 515.620 −10.100 −25.235 515.620 −3.772 −22.840 515.620 −11.778 −25.494 515.620 −5.277 −23.627 515.620 −13.473 −25.609 515.620 −6.838 −24.296 515.620 3.701 8.714 515.620 9.536 14.880 515.620 4.924 9.892 515.620 6.118 11.101 515.620 1.161 6.457 515.620 7.283 12.337 515.620 2.447 7.567 515.620 8.422 13.597 515.620 16.454 5.823 515.620 12.958 −1.918 515.620 19.003 12.122 515.620 15.787 4.260 515.620 10.627 16.182 515.620 18.381 10.541 515.620 15.106 2.704 515.620 17.749 8.964 515.620 14.408 1.155 515.620 20.224 15.293 515.620 17.107 7.391 515.620 13.693 −0.386 515.620 19.618 13.706 515.620 5.039 −14.961 515.620 8.909 −9.381 515.620 3.957 −16.271 515.620 8.003 −10.818 515.620 2.820 −17.533 515.620 7.058 −12.229 515.620 1.626 −18.742 515.620 6.071 −13.612 515.620 0.372 −19.887 515.620 9.779 −7.922 515.620 12.203 −3.439 515.620 11.423 −4.948 515.620 10.616 −6.443 515.620 26.453 40.292 515.620 29.535 42.623 515.620 29.964 44.620 515.620 27.266 41.784 515.620 29.062 40.992 515.620 29.716 44.922 515.620 28.066 43.283 515.620 28.567 39.367 515.620 29.348 45.019 515.620 28.997 44.893 515.620 25.629 38.807 515.620 29.985 44.231 515.620 13.767 20.196 515.620 18.622 27.164 515.620 14.773 21.565 515.620 15.760 22.947 515.620 11.695 17.503 515.620 16.731 24.342 515.620 12.741 18.842 515.620 17.684 25.748 515.620 24.860 28.068 515.620 22.004 20.068 515.620 23.095 34.385 515.620 27.028 34.508 515.620 24.300 26.464 515.620 19.545 28.591 515.620 21.417 18.474 515.620 23.950 35.853 515.620 26.497 32.894 515.620 23.734 24.862 515.620 20.453 30.027 515.620 20.824 16.882 515.620 24.794 37.327 515.620 25.959 31.283 515.620 23.163 23.262 515.620 21.346 31.471 515.620 28.063 37.745 515.620 25.413 29.674 515.620 22.586 21.664 515.620 22.227 32.924 515.620 27.549 36.125 515.620 −24.852 −5.398 515.620 −23.245 −4.849 515.620 −29.095 −8.127 515.620 −21.614 −4.375 515.620 −27.848 −6.978 515.620 −19.973 −3.933 515.620 −26.406 −6.084 515.620 −18.332 −3.495 515.620 −2.894 3.373 515.620 −16.695 −3.041 515.620 −8.755 −0.055 515.620 −1.510 4.357 515.620 −15.068 −2.552 515.620 −7.243 0.719 515.620 −0.158 5.386 515.620 −13.457 −2.013 515.620 −5.761 1.551 515.620 −11.865 −1.420 515.620 −4.312 2.437 515.620 −10.296 −0.768 515.620 −23.277 −23.267 515.620 −30.039 −9.534 515.620 −29.493 −17.624 515.620 −24.736 −22.397 515.620 −30.255 −16.107 515.620 −18.527 −25.072 515.620 −26.111 −21.400 515.620 −30.746 −14.483 515.620 −20.160 −24.608 515.620 −27.382 −20.274 515.620 −30.892 −12.794 515.620 −21.748 −24.005 515.620 −30.648 −11.117 515.620 −28.522 −19.016 515.620 −15.171 −25.576 515.620 −0.946 −20.959 515.620 −8.449 −24.834 515.620 −16.859 −25.396 515.620 −2.327 −21.947 515.620 −10.100 −25.235 515.620 −3.772 −22.840 515.620 −11.778 −25.494 515.620 −5.277 −23.627 515.620 −13.473 −25.609 515.620 −6.838 −24.296 515.620 3.701 8.714 515.620 9.536 14.880 515.620 4.924 9.892 515.620 6.118 11.101 515.620 1.161 6.457 515.620 7.283 12.337 515.620 2.447 7.567 515.620 8.422 13.597 515.620 16.454 5.823 515.620 12.958 1.918 515.620 19.003 12.122 515.620 15.787 4.260 515.620 10.627 16.182 515.620 18.381 10.541 515.620 15.106 2.704 515.620 17.749 8.964 515.620 14.408 1.155 515.620 20.224 15.293 515.620 17.107 7.391 515.620 13.693 −0.386 515.620 19.618 13.706 515.620 5.039 −14.961 515.620 8.909 −9.381 515.620 3.957 −16.271 515.620 8.003 −10.818 515.620 2.820 −17.533 515.620 7.058 −12.229 515.620 1.626 −18.742 515.620 6.071 −13.612 515.620 0.372 −19.887 515.620 9.779 −7.922 515.620 12.203 −3.439 515.620 11.423 −4.948 515.620 10.616 −6.443 515.620 29.490 41.451 522.710 30.415 45.220 522.710 28.508 43.864 522.710 28.995 39.780 522.710 30.162 45.531 522.710 25.204 37.726 522.710 28.489 38.112 522.710 29.784 45.626 522.710 26.045 39.253 522.710 29.428 45.492 522.710 26.876 40.785 522.710 29.966 43.127 522.710 30.450 45.024 522.710 27.697 42.322 522.710 10.898 15.885 522.710 16.098 22.874 522.710 11.983 17.249 522.710 17.078 24.316 522.710 13.044 18.632 522.710 18.040 25.769 522.710 14.083 20.031 522.710 9.790 14.540 522.710 15.100 21.446 522.710 19.915 28.707 522.710 21.764 18.312 522.710 24.353 36.206 522.710 26.912 33.127 522.710 24.118 24.874 522.710 20.830 30.191 522.710 21.159 16.678 522.710 26.369 31.471 522.710 23.539 23.230 522.710 21.730 31.683 522.710 20.547 15.046 522.710 25.818 29.818 522.710 22.953 21.589 522.710 22.617 33.183 522.710 27.973 36.448 522.710 25.258 28.167 522.710 18.986 27.233 522.710 22.361 19.949 522.710 23.491 34.691 522.710 27.447 34.786 522.710 24.692 26.519 522.710 −29.966 −8.767 522.710 −22.153 −5.178 522.710 −28.637 −7.645 522.710 −20.465 −4.745 522.710 −27.118 −6.794 522.710 −18.778 −4.308 522.710 −25.500 −6.151 522.710 −30.973 −10.183 522.710 −23.836 −5.633 522.710 −15.427 −3.352 522.710 −7.393 −0.010 522.710 −13.773 −2.803 522.710 −5.872 0.840 522.710 −12.139 −2.197 522.710 −4.383 1.746 522.710 −10.528 −1.531 522.710 −2.928 2.704 522.710 −17.097 −3.849 522.710 −8.946 −0.802 522.710 −1.506 3.712 522.710 −25.564 −23.367 522.710 −31.234 −16.918 522.710 −19.210 −26.152 522.710 −26.972 −22.341 522.710 −31.735 −15.252 522.710 −20.881 −25.658 522.710 −28.276 −21.186 522.710 −31.875 −13.518 522.710 −22.505 −25.028 522.710 −29.448 −19.897 522.710 −24.070 −24.263 522.710 −30.450 −18.473 522.710 −31.616 −11.799 522.710 −2.561 −23.160 522.710 −10.568 −26.446 522.710 −4.050 −24.065 522.710 −12.293 −26.686 522.710 −5.601 −24.858 522.710 −14.033 −26.777 522.710 −7.210 −25.527 522.710 −15.774 −26.716 522.710 −1.138 −22.154 522.710 −8.869 −26.059 522.710 −17.504 −26.507 522.710 5.086 9.398 522.710 −0.119 4.767 522.710 6.306 10.643 522.710 1.234 5.866 522.710 7.495 11.917 522.710 2.552 7.006 522.710 8.656 13.217 522.710 3.836 8.185 522.710 12.341 −4.180 522.710 18.664 10.169 522.710 15.313 2.126 522.710 18.018 8.550 522.710 14.598 0.536 522.710 17.361 6.936 522.710 13.866 −1.046 522.710 19.928 13.417 522.710 16.692 5.326 522.710 13.114 −2.618 522.710 19.300 11.791 522.710 16.010 3.723 522.710 8.044 −11.755 522.710 2.733 −18.649 522.710 7.076 −13.205 522.710 1.507 −19.887 522.710 6.066 −14.625 522.710 0.217 −21.059 522.710 9.862 −8.782 522.710 5.008 −16.010 522.710 8.971 −10.280 522.710 3.899 −17.354 522.710 11.543 −5.729 522.710 10.718 −7.264 522.710 25.506 37.923 529.800 28.985 38.717 529.800 30.612 46.139 529.800 26.354 39.494 529.800 28.467 37.009 529.800 30.224 46.232 529.800 27.192 41.069 529.800 30.463 43.864 529.800 23.777 34.799 529.800 27.939 35.304 529.800 29.862 46.089 529.800 28.022 42.650 529.800 29.987 42.144 529.800 30.900 45.619 529.800 24.647 36.358 529.800 28.845 44.234 529.800 29.492 40.429 529.800 30.868 45.821 529.800 12.135 16.841 529.800 17.303 24.115 529.800 13.214 18.263 529.800 18.276 25.611 529.800 8.742 12.698 529.800 14.268 19.703 529.800 9.900 14.057 529.800 15.301 21.159 529.800 11.031 15.438 529.800 16.312 22.630 529.800 26.854 31.902 529.800 23.993 23.448 529.800 22.001 31.702 529.800 20.952 15.057 529.800 26.298 30.206 529.800 23.398 21.765 529.800 22.896 33.247 529.800 20.321 13.388 529.800 25.733 28.513 529.800 19.231 27.119 529.800 22.797 20.084 529.800 25.160 26.822 529.800 20.170 28.637 529.800 22.190 18.406 529.800 27.401 33.602 529.800 24.580 25.134 529.800 21.093 30.165 529.800 21.575 16.730 529.800 −29.561 −8.460 529.800 −21.168 −5.544 529.800 −27.994 −7.609 529.800 −19.439 −5.100 529.800 −26.330 −6.965 529.800 −31.975 −11.037 529.800 −24.623 −6.444 529.800 −30.937 −9.591 529.800 −22.898 −5.984 529.800 −6.180 0.081 529.800 −12.629 −2.969 529.800 −4.647 0.995 529.800 −10.974 −2.300 529.800 −3.148 1.964 529.800 −17.716 −4.635 529.800 −9.345 −1.569 529.800 −1.685 2.986 529.800 −16.003 −4.132 529.800 −7.747 −0.774 529.800 −14.306 −3.578 529.800 −32.684 −16.236 529.800 −21.382 −26.724 529.800 −29.018 −22.239 529.800 −32.855 −14.463 529.800 −23.050 −26.092 529.800 −30.244 −20.943 529.800 −32.618 −12.698 529.800 −24.662 −25.326 529.800 −31.303 −19.508 529.800 −26.204 −24.428 529.800 −32.140 −17.933 529.800 −19.668 −27.222 529.800 −27.662 −23.399 529.800 −12.582 −27.763 529.800 −5.728 −25.890 529.800 −14.364 −27.856 529.800 −7.376 −26.577 529.800 −16.148 −27.794 529.800 −1.164 −23.109 529.800 −9.075 −27.122 529.800 −17.920 −27.580 529.800 −2.618 −24.144 529.800 −10.815 −27.518 529.800 −4.141 −25.075 529.800 1.133 5.177 529.800 7.556 11.365 529.800 2.487 6.340 529.800 3.805 7.544 529.800 5.089 8.785 529.800 −0.257 4.058 529.800 6.338 10.059 529.800 18.372 8.400 529.800 14.880 0.186 529.800 17.701 6.745 529.800 14.133 −1.435 529.800 17.018 5.096 529.800 13.366 −3.046 529.800 19.680 11.721 529.800 16.322 3.453 529.800 12.577 −4.648 529.800 19.031 10.059 529.800 15.609 1.816 529.800 11.763 −6.237 529.800 7.212 −13.908 529.800 1.536 −20.776 529.800 6.182 −15.366 529.800 0.220 −21.982 529.800 5.105 −16.790 529.800 9.142 −10.905 529.800 3.975 −18.171 529.800 8.197 −12.420 529.800 2.786 −19.503 529.800 10.922 −7.811 529.800 10.049 −9.368 529.800 23.071 33.128 536.890 29.023 37.797 536.890 31.064 46.748 536.890 27.413 41.157 536.890 31.016 44.822 536.890 23.962 34.721 536.890 28.493 36.049 536.890 31.322 46.421 536.890 28.252 42.778 536.890 30.543 43.059 536.890 24.840 36.322 536.890 27.953 34.305 536.890 31.351 46.215 536.890 29.085 44.403 536.890 30.049 41.301 536.890 30.298 46.683 536.890 25.708 37.928 536.890 29.542 39.547 536.890 30.667 46.838 536.890 26.565 39.540 536.890 8.679 12.057 536.890 14.324 19.226 536.890 9.865 13.445 536.890 15.375 20.720 536.890 11.022 14.858 536.890 16.402 22.229 536.890 12.149 16.294 536.890 17.409 23.752 536.890 7.462 10.696 536.890 13.250 17.750 536.890 18.395 25.288 536.890 23.913 22.181 536.890 20.787 13.605 536.890 26.274 29.092 536.890 19.363 26.836 536.890 23.304 20.460 536.890 20.135 11.899 536.890 25.696 27.360 536.890 20.314 28.395 536.890 22.687 18.742 536.890 25.109 25.631 536.890 21.248 29.964 536.890 22.062 17.026 536.890 27.403 32.565 536.890 24.515 23.905 536.890 22.166 31.542 536.890 21.429 15.314 536.890 26.843 30.827 536.890 −20.306 −5.875 536.890 −33.653 −13.816 536.890 −27.337 −7.845 536.890 −18.544 −5.400 536.890 −33.042 −12.101 536.890 −25.598 −7.287 536.890 −32.006 −10.605 536.890 −23.840 −6.798 536.890 −30.617 −9.427 536.890 −22.073 −6.335 536.890 −29.028 −8.531 536.890 −11.626 −3.072 536.890 −3.557 1.168 536.890 −9.950 −2.348 536.890 −2.048 2.195 536.890 −16.790 −4.893 536.890 −8.303 −1.562 536.890 −15.050 −4.340 536.890 −6.686 −0.713 536.890 −13.328 −3.734 536.890 −5.104 0.197 536.890 −23.397 −27.196 536.890 −30.915 −22.151 536.890 −25.064 −26.452 536.890 −32.053 −20.725 536.890 −26.665 −25.576 536.890 −32.970 −19.149 536.890 −19.915 −28.283 536.890 −28.188 −24.569 536.890 −33.592 −17.435 536.890 −21.677 −27.807 536.890 −29.613 −23.430 536.890 −33.831 −15.629 536.890 −7.349 −27.451 536.890 −16.306 −28.810 536.890 −9.080 −28.029 536.890 −18.121 −28.620 536.890 −2.512 −24.908 536.890 −10.855 −28.456 536.890 −4.058 −25.877 536.890 −12.660 −28.729 536.890 −5.673 −26.729 536.890 −14.481 −28.848 536.890 2.250 5.586 536.890 3.607 6.807 536.890 4.927 8.068 536.890 −0.577 3.276 536.890 6.212 9.366 536.890 0.856 4.408 536.890 14.485 −1.567 536.890 17.424 5.119 536.890 13.704 −3.217 536.890 16.714 3.437 536.890 12.902 −4.857 536.890 19.474 10.198 536.890 15.988 1.761 536.890 12.075 −6.484 536.890 18.802 8.500 536.890 15.246 0.093 536.890 11.219 −8.098 536.890 18.119 6.807 536.890 0.368 −22.667 536.890 5.319 −17.313 536.890 −1.036 −23.834 536.890 4.173 −18.734 536.890 8.454 −12.824 536.890 2.969 −20.106 536.890 7.454 −14.352 536.890 1.702 −21.421 536.890 6.411 −15.850 536.890 10.333 −9.694 536.890 9.412 −11.270 536.890 24.039 34.476 543.980 29.100 37.010 543.980 31.517 47.357 543.980 28.391 42.723 543.980 31.145 44.184 543.980 24.931 36.114 543.980 28.557 35.226 543.980 31.110 47.447 543.980 29.235 44.386 543.980 30.655 42.385 543.980 25.811 37.758 543.980 28.002 33.445 543.980 30.735 47.275 543.980 30.076 46.050 543.980 22.216 31.222 543.980 30.151 40.589 543.980 31.803 46.813 543.980 26.680 39.408 543.980 27.438 31.668 543.980 23.135 32.845 543.980 29.632 38.797 543.980 31.776 47.023 543.980 27.540 41.063 543.980 15.296 20.156 543.980 10.837 14.177 543.980 16.346 21.697 543.980 5.891 8.596 543.980 11.994 15.640 543.980 17.373 23.254 543.980 7.178 9.946 543.980 13.122 17.125 543.980 8.431 11.328 543.980 14.222 18.631 543.980 9.650 12.739 543.980 20.647 12.312 543.980 26.281 28.121 543.980 20.333 28.002 543.980 23.237 19.307 543.980 19.975 10.572 543.980 25.689 26.353 543.980 21.282 29.607 543.980 22.604 17.553 543.980 19.292 8.836 543.980 25.088 24.587 543.980 21.961 15.803 543.980 18.379 24.825 543.980 24.479 22.825 543.980 21.309 14.055 543.980 26.864 29.893 543.980 19.365 26.408 543.980 23.862 21.065 543.980 −26.763 −8.206 543.980 −34.715 −15.191 543.980 −33.167 −11.848 543.980 −24.979 −7.661 543.980 −31.799 −10.586 543.980 −23.183 −7.158 543.980 −30.217 −9.603 543.980 −21.383 −6.670 543.980 −28.519 −8.833 543.980 −19.584 −6.178 543.980 −34.169 −13.414 543.980 −2.631 1.372 543.980 −17.792 −5.663 543.980 −9.082 −2.361 543.980 −16.011 −5.108 543.980 −7.416 −1.522 543.980 −14.246 −4.507 543.980 −5.784 −0.619 543.980 −12.500 −3.852 543.980 −4.189 0.346 543.980 −10.777 −3.138 543.980 −32.700 −22.147 543.980 −26.957 −26.828 543.980 −33.726 −20.592 543.980 −19.965 −29.345 543.980 −28.556 −25.869 543.980 −34.458 −18.880 543.980 −21.780 −28.916 543.980 −30.066 −24.775 543.980 −34.799 −17.050 543.980 −23.557 −28.353 543.980 −31.461 −23.539 543.980 −25.287 −27.657 543.980 −8.904 −28.792 543.980 −18.123 −29.633 543.980 −2.260 −25.466 543.980 −10.706 −29.271 543.980 −3.822 −26.485 543.980 −12.542 −29.595 543.980 −5.453 −27.388 543.980 −14.399 −29.764 543.980 −7.150 −28.162 543.980 −16.264 −29.775 543.980 4.567 7.283 543.980 −1.112 2.454 543.980 0.367 3.590 543.980 1.806 4.776 543.980 3.206 6.008 543.980 17.170 3.660 543.980 13.299 −4.823 543.980 16.433 1.946 543.980 12.461 −6.489 543.980 15.678 0.241 543.980 11.595 −8.141 543.980 18.598 7.105 543.980 14.906 −1.457 543.980 10.698 −9.776 543.980 17.891 5.380 543.980 14.113 −3.145 543.980 4.478 −19.061 543.980 8.798 −12.985 543.980 3.264 −20.477 543.980 7.788 −14.553 543.980 1.987 −21.836 543.980 6.734 −16.092 543.980 0.643 −23.129 543.980 5.633 −17.597 543.980 −0.772 −24.343 543.980 9.767 −11.392 543.980

As an example, the profile sections of the second stage nozzle airfoils 20 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.

The coordinate values given in Table IV below provide the preferred nominal profile shape excluding the fillet region for the second stage bucket airfoils 22.

TABLE IV Stage 2 Bucket Airfoil X Y R 534.521 7.749 498.825 535.028 8.634 498.825 535.635 9.456 498.825 536.310 10.221 498.825 537.040 10.935 498.825 537.815 11.600 498.825 538.629 12.216 498.825 539.479 12.782 498.825 544.153 14.786 498.825 545.151 15.001 498.825 546.161 15.148 498.825 547.179 15.225 498.825 548.200 15.232 498.825 549.219 15.170 498.825 550.232 15.039 498.825 551.234 14.843 498.825 552.221 14.585 498.825 553.192 14.267 498.825 554.142 13.895 498.825 555.071 13.471 498.825 555.977 13.000 498.825 556.859 12.486 498.825 557.717 11.932 498.825 558.551 11.342 498.825 559.360 10.719 498.825 560.145 10.066 498.825 560.907 9.386 498.825 561.646 8.681 498.825 562.362 7.954 498.825 563.058 7.206 498.825 563.733 6.440 498.825 564.388 5.657 498.825 565.025 4.859 498.825 565.644 4.046 498.825 566.245 3.221 498.825 566.831 2.385 498.825 567.401 1.538 498.825 567.957 0.681 498.825 568.499 −0.185 498.825 569.027 −1.058 498.825 569.543 −1.940 498.825 570.048 −2.827 498.825 570.542 −3.721 498.825 571.025 −4.621 498.825 571.499 −5.525 498.825 571.964 −6.434 498.825 572.421 −7.347 498.825 572.871 −8.264 498.825 573.313 −9.185 498.825 573.750 −10.108 498.825 574.180 −11.034 498.825 574.605 −11.962 498.825 575.026 −12.893 498.825 575.442 −13.825 498.825 559.701 −2.634 498.825 558.827 −2.106 498.825 557.939 −1.602 498.825 557.038 −1.121 498.825 556.124 −0.666 498.825 555.198 −0.236 498.825 554.260 0.168 498.825 553.310 0.544 498.825 552.351 0.892 498.825 551.381 1.213 498.825 550.403 1.505 498.825 549.417 1.770 498.825 548.423 2.007 498.825 547.424 2.218 498.825 546.420 2.404 498.825 545.412 2.566 498.825 544.401 2.708 498.825 543.387 2.833 498.825 542.372 2.945 498.825 541.356 3.048 498.825 540.340 3.152 498.825 539.325 3.264 498.825 538.313 3.399 498.825 537.308 3.577 498.825 536.321 3.836 498.825 535.383 4.237 498.825 534.592 4.874 498.825 534.139 5.777 498.825 534.176 6.790 498.825 540.361 13.296 498.825 541.272 13.757 498.825 542.210 14.161 498.825 543.171 14.505 498.825 577.1.74 −20.960 498.825 576.615 −20.106 498.825 576.046 −19.258 498.825 575.469 −18.415 498.825 574.882 −17.580 498.825 574.284 −16.752 498.825 573.675 −15.932 498.825 573.056 −15.121 498.825 572.425 −14.317 498.825 571.783 −13.523 498.825 571.129 −12.739 498.825 570.463 −11.965 498.825 569.784 −11.202 498.825 569.092 −10.452 498.825 568.386 −9.713 498.825 567.667 −8.988 498.825 566.935 −8.277 498.825 566.188 −7.581 498.825 565.427 −6.900 498.825 564.652 −6.235 498.825 563.862 −5.587 498.825 563.058 −4.957 498.825 562.240 −4.346 498.825 561.408 −3.755 498.825 560.562 −3.183 498.825 575.854 −14.760 498.825 576.262 −15.696 498.825 576.667 −16.633 498.825 577.068 −17.572 498.825 577.465 −18.513 498.825 577.857 −19.456 498.825 578.245 −20.401 498.825 578.028 −21.288 498.825 535.115 9.162 508.157 535.586 10.053 508.157 536.168 10.876 508.157 536.824 11.642 508.157 537.538 12.354 508.157 538.301 13.014 508.157 539.106 13.622 508.157 539.948 14.176 508.157 540.825 14.674 508.157 559.943 −1.951 508.157 559.124 −1.363 508.157 558.291 −0.794 508.157 557.444 −0.246 508.157 556.583 0.280 508.157 555.708 0.782 508.157 554.820 1.259 508.157 553.917 1.709 508.157 553.001 2.132 508.157 552.072 2.525 508.157 551.131 2.889 508.157 550.179 3.222 508.157 549.216 3.523 508.157 548.245 3.794 508.157 547.265 4.034 508.157 546.278 4.244 508.157 545.286 4.426 508.157 544.290 4.582 508.157 543.290 4.717 508.157 542.288 4.834 508.157 541.285 4.941 508.157 540.281 5.045 508.157 539.279 5.159 508.157 538.281 5.303 508.157 537.294 5.510 508.157 534.929 7.204 508.157 534.832 8.196 508.157 541.733 15.113 508.157 542.669 15.489 508.157 543.629 15.798 508.157 544.609 16.037 508.157 545.604 16.202 508.157 546.609 16.291 508.157 547.617 16.305 508.157 548.624 16.242 508.157 549.623 16.105 508.157 550.610 15.896 508.157 551.580 15.621 508.157 552.530 15.283 508.157 553.458 14.888 508.157 554.362 14.441 508.157 555.241 13.946 508.157 556.095 13.408 508.157 556.923 12.833 508.157 557.726 12.222 508.157 558.505 11.582 508.157 559.261 10.914 508.157 559.994 10.221 508.157 560.706 9.506 508.157 561.397 8.771 508.157 562.069 8.019 508.157 562.722 7.250 508.157 563.358 6.467 508.157 563.977 5.670 508.157 564.581 4.862 508.157 565.170 4.043 508.157 565.745 3.214 508.157 576.722 −20.611 508.157 576.161 −19.773 508.157 575.593 −18.939 508.157 575.018 −18.110 508.157 574.435 −17.287 508.157 573.843 −16.471 508.157 573.242 −15.660 508.157 572.633 −14.856 508.157 572.016 −14.058 508.157 571.389 −13.267 508.157 570.754 −12.484 508.157 570.109 −11.708 508.157 569.455 −10.940 508.157 568.790 −10.181 508.157 568.116 −9.431 508.157 567.431 −8.691 508.157 566.735 −7.960 508.157 566.028 −7.240 508.157 565.310 −6.532 508.157 564.581 −5.835 508.157 563.839 −5.151 508.157 563.086 −4.481 508.157 562.320 −3.824 508.157 561.541 −3.183 508.157 560.749 −2.559 508.157 566.307 2.377 508.157 566.857 1.531 508.157 567.395 −0.678 508.157 567.922 −0.183 508.157 568.438 −1.049 508.157 568.946 −1.921 508.157 569.444 −2.798 508.157 569.933 −3.680 508.157 570.415 −4.566 508.157 570.889 −5.457 508.157 571.357 −6.351 508.157 571.818 −7.248 508.157 572.273 −8.148 508.157 572.723 −9.051 508.157 573.168 −9.956 508.157 573.608 −10.864 508.157 574.044 −11.774 508.157 574.476 −12.685 508.157 574.904 −13.599 508.157 575.329 −14.514 508.157 575.750 −15.430 508.157 576.167 −16.349 508.157 576.580 −17.269 508.157 576.988 −18.192 508.157 577.390 −19.117 508.157 577.785 −20.045 508.157 577.571 −20.922 508.157 536.340 5.836 508.157 535.495 6.379 508.157 541.285 15.567 517.489 540.408 15.105 517.489 539.566 14.582 517.489 538.764 13.999 517.489 538.007 13.359 517.489 537.303 12.662 517.489 536.662 11.906 517.489 536.109 11.084 517.489 535.691 10.186 517.489 565.329 3.094 517.489 564.775 3.916 517.489 564.210 4.731 517.489 563.632 5.536 517.489 563.040 6.332 517.489 562.435 7.117 517.489 561.814 7.890 517.489 561.176 8.649 517.489 560.521 9.393 517.489 559.848 10.121 517.489 559.155 10.830 517.489 558.441 11.518 517.489 557.706 12.183 517.489 556.947 12.821 517.489 556.164 13.429 517.489 555.356 14.003 517.489 554.522 14.540 517.489 553.663 15.034 517.489 552.777 15.480 517.489 551.867 15.873 517.489 550.934 16.207 517.489 549.980 16.477 517.489 549.010 16.679 517.489 548.027 16.807 517.489 547.037 16.859 517.489 546.046 16.834 517.489 545.060 16.730 517.489 544.086 16.549 517.489 543.129 16.292 517.489 542.193 15.964 517.489 535.532 9.214 517.489 535.856 8.290 517.489 536.559 7.601 517.489 537.453 7.178 517.489 538.411 6.925 517.489 539.388 6.758 517.489 540.371 6.631 517.489 541.356 6.518 517.489 542.341 6.403 517.489 543.324 6.276 517.489 544.305 6.129 517.489 545.281 5.957 517.489 546.252 5.756 517.489 547.216 5.525 517.489 548.171 5.260 517.489 549.117 4.961 517.489 550.051 4.629 517.489 550.973 4.265 517.489 551.882 3.868 517.489 552.776 3.441 517.489 553.657 2.985 517.489 554.522 2.501 517.489 555.372 1.992 517.489 556.208 1.458 517.489 557.028 0.901 517.489 557.835 0.324 517.489 558.627 −0.272 517.489 559.405 −0.886 517.489 560.170 −1.517 517.489 577.326 −19.694 517.489 576.925 −18.787 517.489 576.517 −17.883 517.489 576.101 −16.983 517.489 575.681 −16.085 517.489 575.256 −15.189 517.489 574.828 −14.295 517.489 574.397 −13.402 517.489 573.963 −12.511 517.489 573.526 −11.621 517.489 573.086 −10.732 517.489 572.642 −9.846 517.489 572.195 −8.961 517.489 571.743 −8.078 517.489 571.288 −7.198 517.489 570.828 −6.319 517.489 570.363 −5.444 517.489 569.892 −4.571 517.489 569.416 −3.701 517.489 568.933 −2.836 517.489 568.443 −1.974 517.489 567.946 −1.116 517.489 567.441 −0.263 517.489 566.927 0.585 517.489 566.404 1.428 517.489 565.872 2.264 517.489 560.923 −2.162 517.489 561.663 −2.822 517.489 562.391 −3.494 517.489 563.109 −4.179 517.489 563.816 −4.874 517.489 564.512 −5.579 517.489 565.199 −6.294 517.489 565.877 −7.018 517.489 566.546 −7.750 517.489 567.206 −8.489 517.489 567.859 −9.236 517.489 568.503 −9.989 517.489 569.141 −10.749 517.489 569.771 −11.514 517.489 570.394 −12.285 517.489 571.010 −13.062 517.489 571.620 −13.844 517.489 572.223 −14.630 517.489 572.821 −15.422 517.489 573.412 −16.217 517.489 573.997 −17.018 517.489 574.575 −17.823 517.489 575.147 −18.633 517.489 575.713 −19.447 517.489 576.272 −20.266 517.489 577.115 −20.555 517.489 564.441 3.728 526.821 563.894 4.531 526.821 563.337 5.326 526.821 562.767 6.113 526.821 562.184 6.890 526.821 561.588 7.657 526.821 560.977 8.412 526.821 560.350 9.154 526.821 559.707 9.882 526.821 559.045 10.593 526.821 558.364 11.286 526.821 557.663 11.958 526.821 556.941 12.608 526.821 556.195 13.230 526.821 555.426 13.824 526.821 554.633 14.384 526.821 553.814 14.906 526.821 552.970 15.387 526.821 552.100 15.820 526.821 551.206 16.200 526.821 550.290 16.522 526.821 549.354 16.780 526.821 564.977 2.918 526.821 540.862 15.753 526.821 540.019 15.271 526.821 539.217 14.723 526.821 538.463 14.111 526.821 537.767 13.434 526.821 537.144 12.689 526.821 536.628 11.867 526.821 536.297 10.957 526.821 548.401 16.970 526.821 547.437 17.087 526.821 546.467 17.128 526.821 545.497 17.091 526.821 544.532 16.976 526.821 543.581 16.782 526.821 542.648 16.511 526.821 541.740 16.167 526.821 536.371 10.003 526.821 536.911 9.205 526.821 537.717 8.670 526.821 538.634 8.352 526.821 539.584 8.151 526.821 540.544 8.002 526.821 541.507 7.874 526.821 542.470 7.747 526.821 543.431 7.605 526.821 544.389 7.443 526.821 545.341 7.254 526.821 546.287 7.034 526.821 547.225 6.781 526.821 548.153 6.494 526.821 549.069 6.171 526.821 549.972 5.814 526.821 550.862 5.423 526.821 551.737 5.001 526.821 552.596 4.548 526.821 553.440 4.066 526.821 554.267 3.558 526.821 555.080 3.025 526.821 555.876 2.470 526.821 556.658 1.893 526.821 557.425 1.297 526.821 558.178 0.683 526.821 558.918 0.053 526.821 559.645 −0.591 526.821 560.360 −1.249 526.821 576.868 −19.344 526.821 576.463 −18.461 526.821 576.052 −17.581 526.821 575.631 −16.705 526.821 575.207 −15.831 526.821 574.780 −14.959 526.821 574.350 −14.088 526.821 573.917 −13.218 526.821 573.482 −12.350 526.821 573.044 −11.482 526.821 572.604 −10.616 526.821 572.161 −9.752 526.821 571.716 −8.888 526.821 571.267 −8.027 526.821 570.815 −7.167 526.821 570.360 −6.309 526.821 569.900 −5.453 526.821 569.436 −4.600 526.821 568.967 −3.749 526.821 568.492 −2.902 526.821 568.012 −2.057 526.821 567.525 −1.217 526.821 567.031 −0.380 526.821 566.530 0.452 526.821 566.021 1.279 526.821 565.503 2.101 526.821 561.063 −1.918 526.821 561.756 −2.599 526.821 562.439 −3.290 526.821 563.112 −3.990 526.821 563.777 −4.699 526.821 564.433 −5.415 526.821 565.081 −6.138 526.821 565.723 −6.868 526.821 566.357 −7.604 526.821 566.985 −8.345 526.821 567.607 −9.091 526.821 568.224 −9.841 526.821 568.835 −10.596 526.821 569.441 −11.355 526.821 570.043 −12.118 526.821 570.641 −12.884 526.821 571.234 −13.653 526.821 571.823 −14.425 526.821 572.408 −15.200 526.821 572.989 −15.979 526.821 573.566 −16.760 526.821 574.139 −17.545 526.821 574.706 −18.334 526.821 575.269 −19.126 526.821 575.825 −19.922 526.821 576.658 −20.189 526.821 540.496 15.819 536.153 539.694 15.309 536.153 538.942 14.727 536.153 538.254 14.072 536.153 537.653 13.337 536.153 563.629 4.335 536.153 563.089 5.117 536.153 562.538 5.892 536.153 561.975 6.658 536.153 561.400 7.415 536.153 560.811 8.162 536.153 560.208 8.897 536.153 559.589 9.619 536.153 558.954 10.327 536.153 558.302 11.018 536.153 557.631 11.692 536.153 556.940 12.345 536.153 556.229 12.976 536.153 555.495 13.580 536.153 554.738 14.156 536.153 553.957 14.698 536.153 553.152 15.203 536.153 552.322 15.667 536.153 551.467 16.084 536.153 550.589 16.448 536.153 549.690 16.755 536.153 548.771 16.999 536.153 547.837 17.174 536.153 546.892 17.277 536.153 545.941 17.303 536.153 544.992 17.251 536.153 544.051 17.120 536.153 543.124 16.909 536.153 542.218 16.620 536.153 541.340 16.256 536.153 541.644 9.060 536.153 542.584 8.915 536.153 543.521 8.758 536.153 544.455 8.580 536.153 545.383 8.374 536.153 546.304 8.135 536.153 547.215 7.863 536.153 548.115 7.556 536.153 549.001 7.213 536.153 549.874 6.835 536.153 550.731 6.425 536.153 551.573 5.982 536.153 552.398 5.510 536.153 553.207 5.011 536.153 554.000 4.485 536.153 554.776 3.937 536.153 555.537 3.367 536.153 556.283 2.777 536.153 557.015 2.170 536.153 557.733 1.547 536.153 558.438 0.909 536.153 559.131 0.258 536.153 559.812 −0.406 536.153 576.412 −18.994 536.153 576.007 −18.134 536.153 575.595 −17.277 536.153 575.176 −16.423 536.153 574.753 −15.572 536.153 574.328 −14.721 536.153 573.900 −13.872 536.153 573.470 −13.024 536.153 573.038 −12.177 536.153 572.604 −11.331 536.153 572.168 −10.486 536.153 571.729 −9.643 536.153 571.289 −8.800 536.153 570.845 −7.959 536.153 570.399 −7.119 536.153 569.950 −6.281 536.153 569.497 −5.445 536.153 569.041 −4.611 536.153 568.580 −3.780 536.153 568.114 −2.951 536.153 567.643 −2.125 536.153 567.166 −1.302 536.153 566.683 −0.483 536.153 566.193 0.332 536.153 565.697 1.143 536.153 565.193 1.949 536.153 564.681 2.750 536.153 564.160 3.546 536.153 560.483 −1.079 536.153 561.144 −1.763 536.153 561.796 −2.455 536.153 562.439 −3.155 536.153 563.075 −3.862 536.153 563.703 −4.576 536.153 564.325 −5.295 536.153 564.940 −6.020 536.153 565.550 −6.749 536.153 566.155 −7.483 536.153 566.755 −8.221 536.153 567.351 −8.961 536.153 567.943 −9.705 536.153 568.532 −10.452 536.153 569.117 −11.201 536.153 569.700 −11.953 536.153 570.280 −12.706 536.153 570.857 −13.461 536.153 571.433 −14.219 536.153 572.005 −14.978 536.153 572.575 −15.738 536.153 573.143 −16.501 536.153 573.708 −17.266 536.153 574.270 −18.033 536.153 574.827 −18.804 536.153 575.379 −19.578 536.153 576.201 −19.823 536.153 537.188 12.509 536.153 536.997 11.586 536.153 537.322 10.704 536.153 537.998 10.045 536.153 538.855 9.638 536.153 539.771 9.388 536.153 540.705 9.210 536.153 539.450 15.240 545.485 538.772 14.604 545.485 563.415 4.157 545.485 562.890 4.924 545.485 562.355 5.685 545.485 561.809 6.438 545.485 561.252 7.182 545.485 560.682 7.918 545.485 560.100 8.643 545.485 559.503 9.356 545.485 558.892 10.057 545.485 558.264 10.744 545.485 557.620 11.415 545.485 556.958 12.067 545.485 556.276 12.700 545.485 555.574 13.311 545.485 554.851 13.895 545.485 554.106 14.451 545.485 553.337 14.975 545.485 552.544 15.461 545.485 551.728 15.906 545.485 550.888 16.305 545.485 550.025 16.652 545.485 549.141 16.941 545.485 548.239 17.166 545.485 547.322 17.323 545.485 546.396 17.407 545.485 545.467 17.415 545.485 544.540 17.344 545.485 543.622 17.193 545.485 542.722 16.961 545.485 541.845 16.650 545.485 541.002 16.260 545.485 540.199 15.791 545.485 538.198 13.874 545.485 537.803 13.036 545.485 537.806 12.121 545.485 538.287 11.334 545.485 539.050 10.811 545.485 539.922 10.491 545.485 540.826 10.273 545.485 541.739 10.096 545.485 542.654 9.928 545.485 543.568 9.753 545.485 544.477 9.557 545.485 545.379 9.333 545.485 546.274 9.078 545.485 547.157 8.787 545.485 548.028 8.462 545.485 548.886 8.102 545.485 549.728 7.708 545.485 550.554 7.281 545.485 551.364 6.823 545.485 552.157 6.337 545.485 552.933 5.825 545.485 553.693 5.289 545.485 554.437 4.731 545.485 555.166 4.153 545.485 555.880 3.557 545.485 556.581 2.945 545.485 557.268 2.318 545.485 557.943 1.678 545.485 558.606 1.027 545.485 559.259 0.364 545.485 575.954 −18.646 545.485 575.556 −17.805 545.485 575.150 −16.969 545.485 574.737 −16.135 545.485 574.322 −15.303 545.485 573.903 −14.472 545.485 573.483 −13.643 545.485 573.060 −12.814 545.485 572.635 −11.987 545.485 572.209 −11.160 545.485 571.780 −10.335 545.485 571.349 −9.511 545.485 570.916 −8.688 545.485 570.481 −7.866 545.485 570.042 −7.046 545.485 569.601 −6.227 545.485 569.156 −5.410 545.485 568.707 −4.595 545.485 568.255 −3.783 545.485 567.798 −2.973 545.485 567.336 −2.166 545.485 566.868 −1.362 545.485 566.395 −0.561 545.485 565.916 0.237 545.485 565.431 1.030 545.485 564.939 1.819 545.485 564.439 2.604 545.485 563.932 3.383 545.485 559.902 −0.308 545.485 560.536 −0.988 545.485 561.161 −1.677 545.485 561.779 −2.372 545.485 562.390 −3.073 545.485 562.994 −3.780 545.485 563.593 −4.492 545.485 564.186 −5.208 545.485 564.775 −5.928 545.485 565.359 −6.652 545.485 565.940 −7.379 545.485 566.516 −8.108 545.485 567.090 −8.840 545.485 567.661 −9.574 545.485 568.230 −10.310 545.485 568.797 −11.047 545.485 569.363 −11.786 545.485 569.927 −12.525 545.485 570.490 −13.266 545.485 571.051 −14.007 545.485 571.612 −14.749 545.485 572.171 −15.493 545.485 572.728 −16.237 545.485 573.284 −16.983 545.485 573.838 −17.730 545.485 574.388 −18.480 545.485 574.933 −19.234 545.485 575.745 −19.457 545.485 563.252 4.006 554.817 562.741 4.758 554.817 562.221 5.504 554.817 561.691 6.243 554.817 561.150 6.975 554.817 560.599 7.698 554.817 560.035 8.412 554.817 559.459 9.116 554.817 558.869 9.808 554.817 558.265 10.487 554.817 557.645 11.153 554.817 557.008 11.802 554.817 556.354 12.434 554.817 555.681 13.045 554.817 554.988 13.634 554.817 554.274 14.198 554.817 553.538 14.732 554.817 552.780 15.234 554.817 551.998 15.698 554.817 551.193 16.122 554.817 550.366 16.498 554.817 549.516 16.822 554.817 548.647 17.089 554.817 547.761 17.293 554.817 546.862 17.428 554.817 545.955 17.491 554.817 545.045 17.478 554.817 544.141 17.386 554.817 543.249 17.213 554.817 542.376 16.957 554.817 541.534 16.616 554.817 540.732 16.187 554.817 539.986 15.668 554.817 539.320 15.050 554.817 538.779 14.321 554.817 538.475 13.471 554.817 538.650 12.592 554.817 539.251 11.921 554.817 540.058 11.508 554.817 540.926 11.237 554.817 541.811 11.028 554.817 542.700 10.836 554.817 543.588 10.640 554.817 544.472 10.426 554.817 545.349 10.185 554.817 546.217 9.913 554.817 547.073 9.606 554.817 547.916 9.265 554.817 548.744 8.889 554.817 549.556 8.480 554.817 550.352 8.040 554.817 551.131 7.570 554.817 551.893 7.074 554.817 552.638 6.553 554.817 553.367 6.010 554.817 554.081 5.446 554.817 554.781 4.865 554.817 555.466 4.267 554.817 556.138 3.654 554.817 556.798 3.028 554.817 557.446 2.390 554.817 558.083 1.742 554.817 558.711 1.084 554.817 559.330 0.417 554.817 575.499 −18.298 554.817 575.112 −17.475 554.817 574.716 −16.656 554.817 574.315 −15.840 554.817 573.911 −15.025 554.817 573.505 −14.211 554.817 573.096 −13.399 554.817 572.685 −12.588 554.817 572.271 −11.778 554.817 571.855 −10.969 554.817 571.437 −10.162 554.817 571.016 −9.356 554.817 570.592 −8.551 554.817 570.165 −7.748 554.817 569.736 −6.946 554.817 569.303 −6.146 554.817 568.867 −5.348 554.817 568.427 −4.552 554.817 567.983 −3.758 554.817 567.535 −2.967 554.817 567.082 −2.178 554.817 566.624 −1.392 554.817 566.161 −0.610 554.817 565.693 0.170 554.817 565.218 0.946 554.817 564.737 1.718 554.817 564.250 2.485 554.817 563.755 3.248 554.817 559.941 −0.257 554.817 560.544 −0.938 554.817 561.139 −1.625 554.817 561.729 −2.317 554.817 562.313 −3.015 554.817 562.891 −3.716 554.817 563.465 −4.422 554.817 564.035 −5.131 554.817 564.601 −5.843 554.817 565.164 −6.557 554.817 565.723 −7.274 554.817 566.280 −7.993 554.817 566.835 −8.714 554.817 567.388 −9.435 554.817 567.940 −10.159 554.817 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541.275 16.539 564.149 548.613 9.636 564.149 549.395 9.213 564.149 550.160 8.760 564.149 550.908 8.279 564.149 551.639 7.773 564.149 552.354 7.244 564.149 553.053 6.695 564.149 553.738 6.127 564.149 554.408 5.543 564.149 555.066 4.944 564.149 555.711 4.333 564.149 556.345 3.709 564.149 556.968 3.075 564.149 557.582 2.431 564.149 558.186 1.779 564.149 558.783 1.120 564.149 559.372 0.454 564.149 571.524 −10.764 564.149 571.118 −9.973 564.149 570.708 −9.184 564.149 570.295 −8.397 564.149 569.879 −7.611 564.149 569.459 −6.827 564.149 569.037 −6.045 564.149 568.610 −5.264 564.149 568.180 −4.486 564.149 567.745 −3.710 564.149 567.307 −2.937 564.149 566.863 −2.166 564.149 566.415 −1.398 564.149 565.962 −0.633 564.149 565.504 0.129 564.149 565.040 0.888 564.149 564.570 1.643 564.149 564.094 2.394 564.149 563.611 3.141 564.149 563.121 3.883 564.149 559.954 −0.218 564.149 560.530 −0.896 564.149 561.100 −1.578 564.149 540.532 16.053 564.149 539.878 15.452 564.149 539.377 14.721 564.149 539.198 13.861 564.149 539.525 13.048 564.149 540.222 12.505 564.149 541.043 12.169 564.149 541.897 11.921 564.149 542.760 11.704 564.149 543.622 11.488 564.149 544.480 11.255 564.149 545.331 10.997 564.149 546.172 10.708 564.149 547.001 10.385 564.149 547.815 10.027 564.149 575.048 −17.949 564.149 574.672 −17.143 564.149 574.289 −16.341 564.149 573.902 −15.540 564.149 573.513 −14.741 564.149 573.121 −13.943 564.149 572.726 −13.146 564.149 572.328 −12.350 564.149 571.928 −11.557 564.149 561.665 −2.265 564.149 562.226 −2.955 564.149 562.782 −3.649 564.149 563.334 −4.346 564.149 563.883 −5.045 564.149 564.430 −5.747 564.149 564.973 −6.451 564.149 565.514 −7.157 564.149 566.053 −7.864 564.149 566.590 −8.572 564.149 567.126 −9.282 564.149 567.661 −9.992 564.149 568.196 −10.703 564.149 568.729 −11.414 564.149 569.263 −12.126 564.149 569.796 −12.837 564.149 570.328 −13.549 564.149 570.861 −14.261 564.149 571.393 −14.974 564.149 571.925 −15.686 564.149 572.457 −16.399 564.149 572.988 −17.112 564.149 573.516 −17.827 564.149 574.044 −18.543 564.149 574.833 −18.724 564.149 562.510 4.531 573.481 562.018 5.249 573.481 561.518 5.962 573.481 561.009 6.668 573.481 560.491 7.367 573.481 559.962 8.058 573.481 559.422 8.741 573.481 558.870 9.414 573.481 558.306 10.077 573.481 557.729 10.728 573.481 557.137 11.365 573.481 556.530 11.989 573.481 555.906 12.596 573.481 555.266 13.185 573.481 554.607 13.754 573.481 553.929 14.300 573.481 553.231 14.820 573.481 552.513 15.311 573.481 551.773 15.770 573.481 551.012 16.191 573.481 550.229 16.572 573.481 549.426 16.906 573.481 548.602 17.188 573.481 547.762 17.413 573.481 546.907 17.575 573.481 546.042 17.669 573.481 545.172 17.688 573.481 544.304 17.627 573.481 543.447 17.480 573.481 542.610 17.242 573.481 541.809 16.904 573.481 541.065 16.454 573.481 540.421 15.871 573.481 539.982 15.126 573.481 539.971 14.269 573.481 540.466 13.570 573.481 541.222 13.144 573.481 542.043 12.856 573.481 542.880 12.617 573.481 543.718 12.385 573.481 544.553 12.139 573.481 545.380 11.866 573.481 546.195 11.562 573.481 546.997 11.225 573.481 547.784 10.853 573.481 548.555 10.449 573.481 549.308 10.013 573.481 550.044 9.549 573.481 550.763 9.058 573.481 551.465 8.544 573.481 552.151 8.008 573.481 552.822 7.454 573.481 553.479 6.883 573.481 554.122 6.296 573.481 554.753 5.697 573.481 555.372 5.085 573.481 555.981 4.463 573.481 556.580 3.832 573.481 557.169 3.192 573.481 557.751 2.544 573.481 558.325 1.890 573.481 558.892 1.230 573.481 574.597 −17.599 573.481 574.230 −16.811 573.481 573.855 −16.025 573.481 573.478 −15.241 573.481 573.100 −14.457 573.481 572.718 −13.674 573.481 572.335 −12.893 573.481 571.948 −12.114 573.481 571.559 −11.335 573.481 571.166 −10.558 573.481 570.771 −9.783 573.481 570.373 −9.009 573.481 569.971 −8.237 573.481 569.566 −7.466 573.481 569.159 −6.698 573.481 568.747 −5.931 573.481 568.332 −5.166 573.481 567.913 −4.403 573.481 567.491 −3.642 573.481 567.064 −2.883 573.481 566.632 −2.127 573.481 566.196 −1.374 573.481 565.756 −0.624 573.481 565.310 0.124 573.481 564.859 0.868 573.481 564.402 1.609 573.481 563.939 2.346 573.481 563.469 3.079 573.481 562.993 3.807 573.481 559.453 0.564 573.481 560.008 −0.106 573.481 560.558 −0.781 573.481 561.103 −1.459 573.481 561.644 −2.141 573.481 562.181 −2.826 573.481 562.714 −3.514 573.481 563.245 −4.204 573.481 563.772 −4.896 573.481 564.297 −5.591 573.481 564.820 −6.286 573.481 565.341 −6.984 573.481 565.860 −7.682 573.481 566.378 −8.382 573.481 566.895 −9.082 573.481 567.411 −9.782 573.481 567.927 −10.483 573.481 568.442 −11.185 573.481 568.958 −11.886 573.481 569.473 −12.588 573.481 569.988 −13.289 573.481 570.504 −13.990 573.481 571.019 −14.691 573.481 571.535 −15.392 573.481 572.052 −16.093 573.481 572.567 −16.794 573.481 573.083 −17.495 573.481 573.599 −18.196 573.481 574.377 −18.358 573.481 562.387 4.506 582.813 561.912 5.215 582.813 561.429 5.919 582.813 560.937 6.616 582.813 560.436 7.307 582.813 559.926 7.991 582.813 559.404 8.666 582.813 558.872 9.333 582.813 558.328 9.990 582.813 557.771 10.637 582.813 557.200 11.271 582.813 556.615 11.893 582.813 556.015 12.500 582.813 555.399 13.090 582.813 554.766 13.662 582.813 554.114 14.213 582.813 553.444 14.741 582.813 552.753 15.242 582.813 552.043 15.714 582.813 551.311 16.153 582.813 550.558 16.554 582.813 549.784 16.913 582.813 548.989 17.225 582.813 548.176 17.483 582.813 547.347 17.684 582.813 546.505 17.821 582.813 545.654 17.888 582.813 544.801 17.880 582.813 543.953 17.788 582.813 543.120 17.607 582.813 542.315 17.324 582.813 541.567 16.917 582.813 540.940 16.343 582.813 540.629 15.561 582.813 540.822 14.747 582.813 541.459 14.192 582.813 542.241 13.853 582.813 543.054 13.595 582.813 543.873 13.354 582.813 544.688 13.100 582.813 545.493 12.820 582.813 546.287 12.505 582.813 547.065 12.156 582.813 547.828 11.774 582.813 548.574 11.359 582.813 549.302 10.914 582.813 550.012 10.441 582.813 550.705 9.943 582.813 551.381 9.423 582.813 552.042 8.882 582.813 552.687 8.324 582.813 553.318 7.749 582.813 553.937 7.161 582.813 554.543 6.561 582.813 555.138 5.949 582.813 555.723 5.328 582.813 556.298 4.697 582.813 556.865 4.059 582.813 557.423 3.414 582.813 557.974 2.762 582.813 558.519 2.105 582.813 559.058 1.444 582.813 574.147 −17.248 582.813 573.783 −16.477 582.813 573.411 −15.709 582.813 573.037 −14.942 582.813 572.662 −14.175 582.813 572.285 −13.409 582.813 571.908 −12.644 582.813 571.528 −11.879 582.813 571.147 −11.116 582.813 570.763 −10.354 582.813 570.378 −9.592 582.813 569.990 −8.832 582.813 569.600 −8.073 582.813 569.207 −7.316 582.813 568.812 −6.559 582.813 568.413 −5.805 582.813 568.012 −5.052 582.813 567.607 −4.301 582.813 567.198 −3.551 582.813 566.786 −2.804 582.813 566.369 −2.060 582.813 565.948 −1.317 582.813 565.522 −0.578 582.813 565.092 0.159 582.813 564.656 0.893 582.813 564.215 1.623 582.813 563.768 2.350 582.813 563.314 3.073 582.813 562.854 3.792 582.813 559.591 0.777 582.813 560.119 0.107 582.813 560.642 −0.567 582.813 561.161 −1.245 582.813 561.676 −1.925 582.813 562.188 −2.608 582.813 562.697 −3.293 582.813 563.203 −3.980 582.813 563.706 −4.669 582.813 564.207 −5.360 582.813 564.707 −6.052 582.813 565.205 −6.745 582.813 565.702 −7.439 582.813 566.198 −8.133 582.813 566.693 −8.828 582.813 567.188 −9.524 582.813 567.682 −10.219 582.813 568.176 −10.915 582.813 568.671 −11.610 582.813 569.165 −12.306 582.813 569.660 −13.001 582.813 570.156 −13.695 582.813 570.653 −14.389 582.813 571.151 −15.082 582.813 571.650 −15.775 582.813 572.149 −16.467 582.813 572.650 −17.158 582.813 573.154 −17.846 582.813 573.920 −17.991 582.813

As an example, the profile sections of the second stage bucket airfoils 22 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.

It will also be appreciated that the airfoils disclosed in the above Tables I-IV may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Tables I-IV may be scaled upwardly or downwardly such the airfoil shapes remain unchanged. A scaled version of the coordinates values in Tables I-IV would be represented by X, Y and R coordinate values multiplied or divided by the same constant or number.

While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims. 

1. A turbine nozzle for a turbine, the turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I, excluding values for X of 28.900 and for R of 494.350, wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
 2. A turbine nozzle according to claim 1 forming part of a first stage of the turbine.
 3. A turbine nozzle according to claim 1 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
 4. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
 5. A turbine bucket according to claim 4 forming part of a first stage of the turbine.
 6. A turbine bucket according to claim 4 wherein said airfoil shape lies in an envelope within 4.064 millimeters in a direction normal to any airfoil surface location.
 7. A turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form said airfoil shape.
 8. A turbine nozzle according to claim 7 forming part of a second stage of the turbine.
 9. A turbine nozzle according to claim 7 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
 10. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.
 11. A turbine bucket according to claim 10 forming part of a second stage of the turbine.
 12. A turbine bucket according to claim 10 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
 13. A first stage of a turbine having a plurality of nozzles in a circumferential array about a turbine axis and a plurality of buckets in a circumferential array about said axis downstream of said nozzles, each said nozzle including a nozzle airfoil having a nozzle airfoil shape, said nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I, excluding values for X of 28.900 and for R of 494.350, wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define nozzle airfoil profile sections in planes normal to the radius and at each distance R, the nozzle airfoil profile sections at the R distances being joined smoothly with one another to form said nozzle airfoil shape; each said bucket including a bucket airfoil having a bucket airfoil shape, said bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the bucket airfoil profile sections at the R distances of Table II being joined smoothly with one another to form said bucket airfoil shape.
 14. A first turbine stage according to claim 13 wherein each said airfoil shape of each of said nozzle and said bucket lies in an envelope within ±4.064 millimeters in a direction normal to any respective airfoil surface location.
 15. A second stage of a turbine having a plurality of nozzles in a circumferential array about a turbine axis and a plurality of buckets in a circumferential array about said axis downstream of said nozzles, each said nozzle including a nozzle airfoil having a nozzle airfoil shape, said nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define nozzle airfoil profile sections in planes normal to the radius and at each distance R, the nozzle profile sections at the R distances being joined smoothly with one another to form said nozzle airfoil shape; each said bucket including a bucket airfoil having a bucket airfoil shape, said bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the bucket airfoil profile sections at the R distances of Table IV being joined smoothly with one another to form said bucket airfoil shape.
 16. A second stage of a turbine according to claim 15 wherein each said airfoil shape of each of said nozzles and said buckets lie in an envelope within ±4.064 millimeters in a direction normal to any respective airfoil surface location. 